diff --git a/tests/clickhouse-test b/tests/clickhouse-test
index 810bae86cb0..b404889a925 100755
--- a/tests/clickhouse-test
+++ b/tests/clickhouse-test
@@ -293,6 +293,7 @@ def clickhouse_execute_http(
         "http_receive_timeout": timeout,
         "http_send_timeout": timeout,
         "output_format_parallel_formatting": 0,
+        "max_rows_to_read": 0,  # Some queries read from system.text_log which might get too big
     }
     if settings is not None:
         params.update(settings)
diff --git a/tests/queries/0_stateless/00002_log_and_exception_messages_formatting.sql b/tests/queries/0_stateless/00002_log_and_exception_messages_formatting.sql
index 0f13217c236..917789aec10 100644
--- a/tests/queries/0_stateless/00002_log_and_exception_messages_formatting.sql
+++ b/tests/queries/0_stateless/00002_log_and_exception_messages_formatting.sql
@@ -9,7 +9,7 @@ system flush logs;
 drop table if exists logs;
 create view logs as select * from system.text_log where now() - toIntervalMinute(120) < event_time;
 
-SET max_rows_to_read = 0;
+SET max_rows_to_read = 0; -- system.text_log can be really big
 
 -- Check that we don't have too many messages formatted with fmt::runtime or strings concatenation.
 -- 0.001 threshold should be always enough, the value was about 0.00025
diff --git a/tests/queries/0_stateless/00956_sensitive_data_masking.sh b/tests/queries/0_stateless/00956_sensitive_data_masking.sh
index bd65b937648..55f24b7e888 100755
--- a/tests/queries/0_stateless/00956_sensitive_data_masking.sh
+++ b/tests/queries/0_stateless/00956_sensitive_data_masking.sh
@@ -144,8 +144,7 @@ echo 9
 $CLICKHOUSE_CLIENT \
    --server_logs_file=/dev/null \
    --query="SELECT if( count() > 0, 'text_log non empty', 'text_log empty') FROM system.text_log WHERE event_date >= yesterday() and message like '%find_me%';
-   select * from system.text_log where event_date >= yesterday() and message like '%TOPSECRET=TOPSECRET%';"  --ignore-error 
-
+   select * from system.text_log where event_date >= yesterday() and message like '%TOPSECRET=TOPSECRET%' SETTINGS max_rows_to_read = 0"  --ignore-error
 echo 'finish'
 rm -f "$tmp_file" >/dev/null 2>&1
 rm -f "$tmp_file2" >/dev/null 2>&1
diff --git a/tests/queries/0_stateless/00974_text_log_table_not_empty.sh b/tests/queries/0_stateless/00974_text_log_table_not_empty.sh
index ab1b32ad90e..7fdf144a068 100755
--- a/tests/queries/0_stateless/00974_text_log_table_not_empty.sh
+++ b/tests/queries/0_stateless/00974_text_log_table_not_empty.sh
@@ -6,12 +6,12 @@ CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 
 ${CLICKHOUSE_CLIENT} --query="SELECT 6103"
 
-for (( i=1; i <= 50; i++ )) 
+for (( i=1; i <= 50; i++ ))
 do
 
 ${CLICKHOUSE_CLIENT} --query="SYSTEM FLUSH LOGS"
 sleep 0.1;
-if [[ $($CLICKHOUSE_CURL -sS "$CLICKHOUSE_URL" -d "SELECT count() > 0 FROM system.text_log WHERE position(system.text_log.message, 'SELECT 6103') > 0 AND event_date >= yesterday()") == 1 ]]; then echo 1; exit; fi;
+if [[ $($CLICKHOUSE_CURL -sS "$CLICKHOUSE_URL" -d "SELECT count() > 0 FROM system.text_log WHERE position(system.text_log.message, 'SELECT 6103') > 0 AND event_date >= yesterday() SETTINGS max_rows_to_read = 0") == 1 ]]; then echo 1; exit; fi;
 
 done;
 
diff --git a/tests/queries/0_stateless/01165_lost_part_empty_partition.sql b/tests/queries/0_stateless/01165_lost_part_empty_partition.sql
index b8998adbc52..787d4567218 100644
--- a/tests/queries/0_stateless/01165_lost_part_empty_partition.sql
+++ b/tests/queries/0_stateless/01165_lost_part_empty_partition.sql
@@ -1,5 +1,7 @@
 -- Tags: zookeeper
 
+SET max_rows_to_read = 0; -- system.text_log can be really big
+
 create table rmt1 (d DateTime, n int) engine=ReplicatedMergeTree('/test/01165/{database}/rmt', '1') order by n partition by toYYYYMMDD(d);
 create table rmt2 (d DateTime, n int) engine=ReplicatedMergeTree('/test/01165/{database}/rmt', '2') order by n partition by toYYYYMMDD(d);
 
diff --git a/tests/queries/0_stateless/01319_query_formatting_in_server_log.sql b/tests/queries/0_stateless/01319_query_formatting_in_server_log.sql
index dc88d3d48f7..4428d4fbf9c 100644
--- a/tests/queries/0_stateless/01319_query_formatting_in_server_log.sql
+++ b/tests/queries/0_stateless/01319_query_formatting_in_server_log.sql
@@ -2,5 +2,6 @@ SeLeCt 'ab
 cd' /* hello */ -- world
 , 1;
 
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SYSTEM FLUSH LOGS;
 SELECT extract(message, 'SeL.+?;') FROM system.text_log WHERE event_date >= yesterday() AND message LIKE '%SeLeCt \'ab\n%' ORDER BY event_time DESC LIMIT 1 FORMAT TSVRaw;
diff --git a/tests/queries/0_stateless/01396_inactive_replica_cleanup_nodes_zookeeper.sh b/tests/queries/0_stateless/01396_inactive_replica_cleanup_nodes_zookeeper.sh
index eca2db359bb..66cebf16662 100755
--- a/tests/queries/0_stateless/01396_inactive_replica_cleanup_nodes_zookeeper.sh
+++ b/tests/queries/0_stateless/01396_inactive_replica_cleanup_nodes_zookeeper.sh
@@ -30,7 +30,7 @@ $CLICKHOUSE_CLIENT --insert_keeper_fault_injection_probability=0 --max_block_siz
 # Now wait for cleanup thread
 for _ in {1..60}; do
     $CLICKHOUSE_CLIENT --query "SYSTEM FLUSH LOGS"
-    [[ $($CLICKHOUSE_CLIENT --query "SELECT sum(toUInt32(extract(message, 'Removed (\d+) old log entries'))) FROM system.text_log WHERE event_date >= yesterday() AND logger_name LIKE '%' || '$CLICKHOUSE_DATABASE' || '%r1%(ReplicatedMergeTreeCleanupThread)%' AND message LIKE '%Removed % old log entries%'") -gt $((SCALE - 10)) ]] && break;
+    [[ $($CLICKHOUSE_CLIENT --query "SELECT sum(toUInt32(extract(message, 'Removed (\d+) old log entries'))) FROM system.text_log WHERE event_date >= yesterday() AND logger_name LIKE '%' || '$CLICKHOUSE_DATABASE' || '%r1%(ReplicatedMergeTreeCleanupThread)%' AND message LIKE '%Removed % old log entries%' SETTINGS max_rows_to_read = 0") -gt $((SCALE - 10)) ]] && break;
     sleep 1
 done
 
diff --git a/tests/queries/0_stateless/01666_merge_tree_max_query_limit.sh b/tests/queries/0_stateless/01666_merge_tree_max_query_limit.sh
index ec318db98bf..b38d59cf6a6 100755
--- a/tests/queries/0_stateless/01666_merge_tree_max_query_limit.sh
+++ b/tests/queries/0_stateless/01666_merge_tree_max_query_limit.sh
@@ -72,6 +72,6 @@ ${CLICKHOUSE_CLIENT} --query_id "$query_id" --query "select i from simple where
 # We have to search the server's error log because the following warning message
 # is generated during pipeline destruction and thus is not sent to the client.
 ${CLICKHOUSE_CLIENT} --query "system flush logs"
-if [[ $(${CLICKHOUSE_CLIENT} --query "select count() > 0 from system.text_log where query_id = '$query_id' and level = 'Warning' and message like '%We have query_id removed but it\'s not recorded. This is a bug%' format TSVRaw") == 1 ]]; then echo "We have query_id removed but it's not recorded. This is a bug." >&2; exit 1; fi
+if [[ $(${CLICKHOUSE_CLIENT} --query "select count() > 0 from system.text_log where query_id = '$query_id' and level = 'Warning' and message like '%We have query_id removed but it\'s not recorded. This is a bug%' format TSVRaw SETTINGS max_rows_to_read = 0") == 1 ]]; then echo "We have query_id removed but it's not recorded. This is a bug." >&2; exit 1; fi
 
 ${CLICKHOUSE_CLIENT} --query "drop table simple"
diff --git a/tests/queries/0_stateless/02262_column_ttl.sh b/tests/queries/0_stateless/02262_column_ttl.sh
index c620d3b6d9c..30730c2a074 100755
--- a/tests/queries/0_stateless/02262_column_ttl.sh
+++ b/tests/queries/0_stateless/02262_column_ttl.sh
@@ -35,7 +35,7 @@ $CLICKHOUSE_CLIENT -m -q "
     -- OPTIMIZE TABLE x FINAL will be done in background
     -- attach to it's log, via table UUID in query_id (see merger/mutator code).
     create materialized view this_text_log engine=Memory() as
-    select * from system.text_log where query_id like '%${ttl_02262_uuid}%';
+    select * from system.text_log where query_id like '%${ttl_02262_uuid}%' SETTINGS max_rows_to_read = 0;
 
     optimize table ttl_02262 final;
     system flush logs;
diff --git a/tests/queries/0_stateless/02432_s3_parallel_parts_cleanup.sql b/tests/queries/0_stateless/02432_s3_parallel_parts_cleanup.sql
index 948ec9e9e8a..0e7a14ddf99 100644
--- a/tests/queries/0_stateless/02432_s3_parallel_parts_cleanup.sql
+++ b/tests/queries/0_stateless/02432_s3_parallel_parts_cleanup.sql
@@ -64,5 +64,6 @@ drop table rmt;
 drop table rmt2;
 
 system flush logs;
+SET max_rows_to_read = 0; -- system.text_log can be really big
 select count() > 0 from system.text_log where yesterday() <= event_date and logger_name like '%' || currentDatabase() || '%' and message like '%Removing % parts from filesystem (concurrently): Parts:%';
 select count() > 1, countDistinct(thread_id) > 1 from system.text_log where yesterday() <= event_date and logger_name like '%' || currentDatabase() || '%' and message like '%Removing % parts in blocks range%';
diff --git a/tests/queries/0_stateless/02434_cancel_insert_when_client_dies.sh b/tests/queries/0_stateless/02434_cancel_insert_when_client_dies.sh
index 1548bef857f..f3f8886f691 100755
--- a/tests/queries/0_stateless/02434_cancel_insert_when_client_dies.sh
+++ b/tests/queries/0_stateless/02434_cancel_insert_when_client_dies.sh
@@ -99,4 +99,4 @@ $CLICKHOUSE_CLIENT -q 'system flush logs'
 $CLICKHOUSE_CLIENT -q "select count() > 0 from system.text_log where event_date >= yesterday() and query_id like '$TEST_MARK%' and (
   message_format_string in ('Unexpected end of file while reading chunk header of HTTP chunked data', 'Unexpected EOF, got {} of {} bytes',
   'Query was cancelled or a client has unexpectedly dropped the connection') or
-  message like '%Connection reset by peer%' or message like '%Broken pipe, while writing to socket%')"
+  message like '%Connection reset by peer%' or message like '%Broken pipe, while writing to socket%') SETTINGS max_rows_to_read = 0"
diff --git a/tests/queries/0_stateless/02477_projection_materialize_and_zero_copy.sql b/tests/queries/0_stateless/02477_projection_materialize_and_zero_copy.sql
index 0597ac10cd7..c89f92ac081 100644
--- a/tests/queries/0_stateless/02477_projection_materialize_and_zero_copy.sql
+++ b/tests/queries/0_stateless/02477_projection_materialize_and_zero_copy.sql
@@ -15,6 +15,7 @@ alter table t materialize projection p_norm settings mutations_sync = 1;
 
 SYSTEM FLUSH LOGS;
 
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT * FROM system.text_log WHERE event_time >= now() - 30 and level == 'Error' and message like '%BAD_DATA_PART_NAME%'and message like '%p_norm%';
 
 DROP TABLE IF EXISTS t;
diff --git a/tests/queries/0_stateless/02531_two_level_aggregation_bug.sh b/tests/queries/0_stateless/02531_two_level_aggregation_bug.sh
index d93fe59134f..e1bd64e19ae 100755
--- a/tests/queries/0_stateless/02531_two_level_aggregation_bug.sh
+++ b/tests/queries/0_stateless/02531_two_level_aggregation_bug.sh
@@ -12,5 +12,5 @@ do
     query_id=$(echo "select queryID() from (select sum(s), k from remote('127.0.0.{1,2}', view(select sum(number) s, bitAnd(number, 3) k from numbers_mt(1000000) group by k)) group by k) limit 1 settings group_by_two_level_threshold=1, max_threads=3, prefer_localhost_replica=1" | ${CLICKHOUSE_CURL} -sS "${CLICKHOUSE_URL}" --data-binary @- 2>&1)
 
     ${CLICKHOUSE_CLIENT} --query="system flush logs"
-    ${CLICKHOUSE_CLIENT} --query="select count() from system.text_log where event_date >= yesterday() and query_id = '${query_id}' and message like '%Converting aggregation data to two-level%'" | grep -P '^6$' && break;
+    ${CLICKHOUSE_CLIENT} --query="select count() from system.text_log where event_date >= yesterday() and query_id = '${query_id}' and message like '%Converting aggregation data to two-level%' SETTINGS max_rows_to_read = 0" | grep -P '^6$' && break;
 done
diff --git a/tests/queries/0_stateless/02570_fallback_from_async_insert.sh b/tests/queries/0_stateless/02570_fallback_from_async_insert.sh
index d7c8944b89d..23417e5366b 100755
--- a/tests/queries/0_stateless/02570_fallback_from_async_insert.sh
+++ b/tests/queries/0_stateless/02570_fallback_from_async_insert.sh
@@ -48,6 +48,7 @@ $CLICKHOUSE_CLIENT --query "
     SELECT 'id_' || splitByChar('_', query_id)[1] AS id FROM system.text_log
     WHERE query_id LIKE '%$query_id_suffix' AND message LIKE '%$message%'
     ORDER BY id
+    SETTINGS max_rows_to_read = 0
 "
 
 $CLICKHOUSE_CLIENT --query "DROP TABLE IF EXISTS t_async_insert_fallback"
diff --git a/tests/queries/0_stateless/02581_share_big_sets_between_multiple_mutations_tasks_long.sql b/tests/queries/0_stateless/02581_share_big_sets_between_multiple_mutations_tasks_long.sql
index 6b0677a80ae..8b6574562bf 100644
--- a/tests/queries/0_stateless/02581_share_big_sets_between_multiple_mutations_tasks_long.sql
+++ b/tests/queries/0_stateless/02581_share_big_sets_between_multiple_mutations_tasks_long.sql
@@ -30,6 +30,7 @@ SELECT count() FROM 02581_trips SETTINGS select_sequential_consistency = 1;
 DELETE FROM 02581_trips                        WHERE id IN (SELECT (number*10 + 9)::UInt32 FROM numbers(10000000)) SETTINGS lightweight_deletes_sync = 2;
 SELECT count(), _part from 02581_trips WHERE description = '' GROUP BY _part ORDER BY _part SETTINGS select_sequential_consistency=1;
 
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SYSTEM FLUSH LOGS;
 -- Check that in every mutation there were parts that built sets (log messages like 'Created Set with 10000000 entries from 10000000 rows in 0.388989187 sec.' )
 -- and parts that shared sets (log messages like 'Got set from cache in 0.388930505 sec.' )
diff --git a/tests/queries/0_stateless/02581_share_big_sets_between_mutation_tasks_long.sql b/tests/queries/0_stateless/02581_share_big_sets_between_mutation_tasks_long.sql
index 091a9c8171d..b1facadc790 100644
--- a/tests/queries/0_stateless/02581_share_big_sets_between_mutation_tasks_long.sql
+++ b/tests/queries/0_stateless/02581_share_big_sets_between_mutation_tasks_long.sql
@@ -58,6 +58,7 @@ WHERE
 SETTINGS mutations_sync=2;
 SELECT count() from 02581_trips WHERE description = '';
 
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SYSTEM FLUSH LOGS;
 -- Check that in every mutation there were parts that built sets (log messages like 'Created Set with 10000000 entries from 10000000 rows in 0.388989187 sec.' )
 -- and parts that shared sets (log messages like 'Got set from cache in 0.388930505 sec.' )
diff --git a/tests/queries/0_stateless/02675_sparse_columns_clear_column.sql b/tests/queries/0_stateless/02675_sparse_columns_clear_column.sql
index 781030ef7b4..1dac8eb23d0 100644
--- a/tests/queries/0_stateless/02675_sparse_columns_clear_column.sql
+++ b/tests/queries/0_stateless/02675_sparse_columns_clear_column.sql
@@ -30,5 +30,5 @@ ORDER BY column;
 DROP TABLE t_sparse_columns_clear SYNC;
 
 SYSTEM FLUSH LOGS;
-
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT count(), groupArray(message) FROM system.text_log WHERE logger_name LIKE '%' || currentDatabase() || '.t_sparse_columns_clear' || '%' AND level = 'Error';
diff --git a/tests/queries/0_stateless/02796_calculate_text_stack_trace.sql b/tests/queries/0_stateless/02796_calculate_text_stack_trace.sql
index 52d55bdbe11..dccac8fceb4 100644
--- a/tests/queries/0_stateless/02796_calculate_text_stack_trace.sql
+++ b/tests/queries/0_stateless/02796_calculate_text_stack_trace.sql
@@ -1,5 +1,6 @@
 -- Tags: no-parallel
 
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT 'Hello', throwIf(1); -- { serverError FUNCTION_THROW_IF_VALUE_IS_NON_ZERO }
 SYSTEM FLUSH LOGS;
 
diff --git a/tests/queries/0_stateless/02813_starting_in_text_log.sql b/tests/queries/0_stateless/02813_starting_in_text_log.sql
index e007f58189e..a320ab7eead 100644
--- a/tests/queries/0_stateless/02813_starting_in_text_log.sql
+++ b/tests/queries/0_stateless/02813_starting_in_text_log.sql
@@ -1,2 +1,3 @@
 SYSTEM FLUSH LOGS;
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT count() > 0 FROM system.text_log WHERE event_date >= yesterday() AND message LIKE '%Starting ClickHouse%';
diff --git a/tests/queries/0_stateless/02875_parallel_replicas_cluster_all_replicas.sql b/tests/queries/0_stateless/02875_parallel_replicas_cluster_all_replicas.sql
index f59d38ceb04..3c82958aead 100644
--- a/tests/queries/0_stateless/02875_parallel_replicas_cluster_all_replicas.sql
+++ b/tests/queries/0_stateless/02875_parallel_replicas_cluster_all_replicas.sql
@@ -8,6 +8,7 @@ SELECT count() FROM clusterAllReplicas('test_cluster_two_shard_three_replicas_lo
 SYSTEM FLUSH LOGS;
 
 SET allow_experimental_parallel_reading_from_replicas=0;
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT count() > 0 FROM system.text_log
 WHERE query_id in (select query_id from system.query_log where current_database = currentDatabase() AND log_comment = '02875_190aed82-2423-413b-ad4c-24dcca50f65b')
     AND message LIKE '%Parallel reading from replicas is disabled for cluster%';
diff --git a/tests/queries/0_stateless/02875_parallel_replicas_remote.sql b/tests/queries/0_stateless/02875_parallel_replicas_remote.sql
index 5fbaf34b621..e8e6f884f2a 100644
--- a/tests/queries/0_stateless/02875_parallel_replicas_remote.sql
+++ b/tests/queries/0_stateless/02875_parallel_replicas_remote.sql
@@ -8,6 +8,7 @@ SELECT count() FROM remote('127.0.0.{1..6}', currentDatabase(), tt) settings log
 SYSTEM FLUSH LOGS;
 
 SET allow_experimental_parallel_reading_from_replicas=0;
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT count() > 0 FROM system.text_log
 WHERE query_id in (select query_id from system.query_log where current_database = currentDatabase() AND log_comment = '02875_89f3c39b-1919-48cb-b66e-ef9904e73146')
     AND message LIKE '%Parallel reading from replicas is disabled for cluster%';
diff --git a/tests/queries/0_stateless/02882_replicated_fetch_checksums_doesnt_match.sql b/tests/queries/0_stateless/02882_replicated_fetch_checksums_doesnt_match.sql
index dc500aaff3b..a745625f17a 100644
--- a/tests/queries/0_stateless/02882_replicated_fetch_checksums_doesnt_match.sql
+++ b/tests/queries/0_stateless/02882_replicated_fetch_checksums_doesnt_match.sql
@@ -34,6 +34,7 @@ SELECT count() FROM checksums_r3;
 
 SYSTEM FLUSH LOGS;
 
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT * FROM system.text_log WHERE event_time >= now() - INTERVAL 120 SECOND and level == 'Error' and message like '%CHECKSUM_DOESNT_MATCH%' and logger_name like ('%' || currentDatabase() || '%checksums_r%');
 
 DROP TABLE IF EXISTS checksums_r3;
diff --git a/tests/queries/0_stateless/02898_parallel_replicas_progress_bar.sql b/tests/queries/0_stateless/02898_parallel_replicas_progress_bar.sql
index 9348ea1dc32..975803fb4b9 100644
--- a/tests/queries/0_stateless/02898_parallel_replicas_progress_bar.sql
+++ b/tests/queries/0_stateless/02898_parallel_replicas_progress_bar.sql
@@ -21,6 +21,7 @@ SELECT count(), min(k), max(k), avg(k) FROM t1 SETTINGS log_comment='02898_defau
 
 -- check logs
 SYSTEM FLUSH LOGS;
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT count() > 0 FROM system.text_log
 WHERE query_id in (select query_id from system.query_log where current_database = currentDatabase() AND log_comment='02898_default_190aed82-2423-413b-ad4c-24dcca50f65b')
     AND message LIKE '%Total rows to read: 3000%' SETTINGS allow_experimental_parallel_reading_from_replicas=0;
diff --git a/tests/queries/0_stateless/02903_rmt_retriable_merge_exception.sh b/tests/queries/0_stateless/02903_rmt_retriable_merge_exception.sh
index b77e5b0b402..aaecc7301e4 100755
--- a/tests/queries/0_stateless/02903_rmt_retriable_merge_exception.sh
+++ b/tests/queries/0_stateless/02903_rmt_retriable_merge_exception.sh
@@ -56,7 +56,8 @@ for _ in {0..50}; do
             (
                 (logger_name = 'MergeTreeBackgroundExecutor' and message like '%{$table_uuid::$part_name}%No active replica has part $part_name or covering part%') or
                 (logger_name like '$table_uuid::$part_name (MergeFromLogEntryTask)' and message like '%No active replica has part $part_name or covering part%')
-            );
+            )
+        SETTINGS max_rows_to_read = 0;
     ")
     if [[ $no_active_repilica_messages -gt 0 ]]; then
         break
@@ -78,5 +79,6 @@ $CLICKHOUSE_CLIENT -m -q "
             (logger_name = 'MergeTreeBackgroundExecutor' and message like '%{$table_uuid::$part_name}%No active replica has part $part_name or covering part%') or
             (logger_name like '$table_uuid::$part_name (MergeFromLogEntryTask)' and message like '%No active replica has part $part_name or covering part%')
         )
-    group by level;
+    group by level
+    SETTINGS max_rows_to_read = 0;
 "
diff --git a/tests/queries/0_stateless/02935_parallel_replicas_settings.sql b/tests/queries/0_stateless/02935_parallel_replicas_settings.sql
index be6f1c2958c..0e7478443a5 100644
--- a/tests/queries/0_stateless/02935_parallel_replicas_settings.sql
+++ b/tests/queries/0_stateless/02935_parallel_replicas_settings.sql
@@ -11,7 +11,7 @@ SET cluster_for_parallel_replicas='parallel_replicas';
 SELECT count() FROM test_parallel_replicas_settings WHERE NOT ignore(*) settings log_comment='0_f621c4f2-4da7-4a7c-bb6d-052c442d0f7f';
 
 SYSTEM FLUSH LOGS;
-
+SET max_rows_to_read = 0; -- system.text_log can be really big
 SELECT count() > 0 FROM system.text_log
 WHERE yesterday() <= event_date
       AND query_id in (select query_id from system.query_log where current_database=currentDatabase() AND log_comment='0_f621c4f2-4da7-4a7c-bb6d-052c442d0f7f')
diff --git a/tests/queries/0_stateless/03096_text_log_format_string_args_not_empty.sql b/tests/queries/0_stateless/03096_text_log_format_string_args_not_empty.sql
index bb036a6c133..a08f35cfc1d 100644
--- a/tests/queries/0_stateless/03096_text_log_format_string_args_not_empty.sql
+++ b/tests/queries/0_stateless/03096_text_log_format_string_args_not_empty.sql
@@ -6,6 +6,7 @@ select conut(); -- { serverError UNKNOWN_FUNCTION }
 
 system flush logs;
 
+SET max_rows_to_read = 0; -- system.text_log can be really big
 select count() > 0 from system.text_log where message_format_string = 'Peak memory usage{}: {}.' and value1 is not null and value2 like '% MiB';
 
 select count() > 0 from system.text_log where level = 'Error' and message_format_string = 'Unknown {}{} identifier {} in scope {}{}' and value1 = 'expression' and value3 = '`count`' and value4 = 'SELECT count';
diff --git a/tests/queries/0_stateless/03141_fetches_errors_stress.sql b/tests/queries/0_stateless/03141_fetches_errors_stress.sql
index 2f6b0b08574..69829a44b58 100644
--- a/tests/queries/0_stateless/03141_fetches_errors_stress.sql
+++ b/tests/queries/0_stateless/03141_fetches_errors_stress.sql
@@ -11,6 +11,7 @@ system disable failpoint replicated_sends_failpoint;
 system sync replica data_r2;
 
 system flush logs;
+SET max_rows_to_read = 0; -- system.text_log can be really big
 select event_time_microseconds, logger_name, message from system.text_log where level = 'Error' and message like '%Malformed chunked encoding%' order by 1 format LineAsString;
 
 -- { echoOn }
diff --git a/tests/queries/0_stateless/03166_skip_indexes_vertical_merge_1.sql b/tests/queries/0_stateless/03166_skip_indexes_vertical_merge_1.sql
index 96221f27e73..968cc4a40a7 100644
--- a/tests/queries/0_stateless/03166_skip_indexes_vertical_merge_1.sql
+++ b/tests/queries/0_stateless/03166_skip_indexes_vertical_merge_1.sql
@@ -24,7 +24,7 @@ SELECT count() FROM t_ind_merge_1 WHERE b < 100 SETTINGS force_data_skipping_ind
 EXPLAIN indexes = 1 SELECT count() FROM t_ind_merge_1 WHERE b < 100;
 
 SYSTEM FLUSH LOGS;
-
+SET max_rows_to_read = 0; -- system.text_log can be really big
 WITH
     (SELECT uuid FROM system.tables WHERE database = currentDatabase() AND table = 't_ind_merge_1') AS uuid,
     extractAllGroupsVertical(message, 'containing (\\d+) columns \((\\d+) merged, (\\d+) gathered\)')[1] AS groups
diff --git a/tests/queries/0_stateless/03166_skip_indexes_vertical_merge_2.sql b/tests/queries/0_stateless/03166_skip_indexes_vertical_merge_2.sql
index b749e0c84b0..bf145d875fd 100644
--- a/tests/queries/0_stateless/03166_skip_indexes_vertical_merge_2.sql
+++ b/tests/queries/0_stateless/03166_skip_indexes_vertical_merge_2.sql
@@ -26,6 +26,7 @@ INSERT INTO t_ind_merge_2 SELECT number, number, rand(), rand(), rand(), rand()
 
 OPTIMIZE TABLE t_ind_merge_2 FINAL;
 SYSTEM FLUSH LOGS;
+SET max_rows_to_read = 0; -- system.text_log can be really big
 
 --- merged: a, c, d; gathered: b, e, f
 WITH
diff --git a/tests/queries/1_stateful/00177_memory_bound_merging.sh b/tests/queries/1_stateful/00177_memory_bound_merging.sh
index 3744d89f354..6d1e3871714 100755
--- a/tests/queries/1_stateful/00177_memory_bound_merging.sh
+++ b/tests/queries/1_stateful/00177_memory_bound_merging.sh
@@ -15,7 +15,8 @@ check_replicas_read_in_order() {
         SELECT COUNT() > 0
         FROM system.text_log
         WHERE query_id IN (SELECT query_id FROM system.query_log WHERE query_id != '$1' AND initial_query_id = '$1' AND event_date >= yesterday())
-            AND event_date >= yesterday() AND message ILIKE '%Reading%ranges in order%'"
+            AND event_date >= yesterday() AND message ILIKE '%Reading%ranges in order%'
+        SETTINGS max_rows_to_read=0"
 }
 
 # replicas should use reading in order following initiator's decision to execute aggregation in order.