diff --git a/docker/test/stateless/run.sh b/docker/test/stateless/run.sh
index 63750b90b5a..a07afe0c99e 100755
--- a/docker/test/stateless/run.sh
+++ b/docker/test/stateless/run.sh
@@ -92,6 +92,8 @@ function run_tests()
 
     if [[ -n "$USE_DATABASE_REPLICATED" ]] && [[ "$USE_DATABASE_REPLICATED" -eq 1 ]]; then
         ADDITIONAL_OPTIONS+=('--replicated-database')
+        # Cannot be used with replicated database, due to distributed_ddl_output_mode=none
+        ADDITIONAL_OPTIONS+=('--no-left-queries-check')
         ADDITIONAL_OPTIONS+=('--jobs')
         ADDITIONAL_OPTIONS+=('2')
     else
diff --git a/tests/clickhouse-test b/tests/clickhouse-test
index 13d45e7f8cd..a1f1f467e59 100755
--- a/tests/clickhouse-test
+++ b/tests/clickhouse-test
@@ -356,6 +356,7 @@ class FailureReason(enum.Enum):
     RESULT_DIFF = "result differs with reference: "
     TOO_LONG = "Test runs too long (> 60s). Make it faster."
     INTERNAL_QUERY_FAIL = "Internal query (CREATE/DROP DATABASE) failed:"
+    LEFT_QUERIES = "Queries left in background after the test finished:"
 
     # SKIPPED reasons
     DISABLED = "disabled"
@@ -671,6 +672,15 @@ class TestCase:
             # We're in Flaky Check mode, check the run time as well while we're at it.
             return TestResult(self.name, TestStatus.FAIL, FailureReason.TOO_LONG, total_time, description)
 
+        left_queries_check = args.no_left_queries_check is False
+        if self.tags and 'no-left-queries-check' in self.tags:
+            left_queries_check = False
+        if left_queries_check:
+            processlist = get_processlist_after_test(self.testcase_args)
+            if processlist:
+                description += "\n{}\n".format(json.dumps(processlist, indent=4))
+                return TestResult(self.name, TestStatus.FAIL, FailureReason.LEFT_QUERIES, total_time, description)
+
         if os.path.exists(self.stdout_file):
             os.remove(self.stdout_file)
         if os.path.exists(self.stderr_file):
@@ -747,16 +757,6 @@ class TestCase:
                         proc.stdout is None or 'Exception' not in proc.stdout)
             need_drop_database = not maybe_passed
 
-        left_queries_check = args.no_left_queries_check is False
-        if self.tags and 'no-left-queries-check' in self.tags:
-            left_queries_check = False
-        if left_queries_check:
-            processlist = get_processlist_after_test(args)
-            if processlist:
-                print(colored(f"\nFound queries left in processlist after running {args.testcase_basename} (database={database}):", args, "red", attrs=["bold"]))
-                print(json.dumps(processlist, indent=4))
-                exit_code.value = 1
-
         if need_drop_database:
             seconds_left = max(args.timeout - (datetime.now() - start_time).total_seconds(), 20)
             try:
diff --git a/tests/queries/0_stateless/01085_max_distributed_connections_http.sh b/tests/queries/0_stateless/01085_max_distributed_connections_http.sh
index 0e40918257d..6e840f44930 100755
--- a/tests/queries/0_stateless/01085_max_distributed_connections_http.sh
+++ b/tests/queries/0_stateless/01085_max_distributed_connections_http.sh
@@ -15,3 +15,5 @@ while [[ $i -lt $retries ]]; do
     timeout 1.8s ${CLICKHOUSE_CURL} -sS "${CLICKHOUSE_URL}&max_distributed_connections=2&max_threads=1" -d "$query" && break
     ((++i))
 done
+
+clickhouse_test_wait_queries 60
diff --git a/tests/queries/0_stateless/01502_log_tinylog_deadlock_race.sh b/tests/queries/0_stateless/01502_log_tinylog_deadlock_race.sh
index b659d550fa4..142b83f1e0b 100755
--- a/tests/queries/0_stateless/01502_log_tinylog_deadlock_race.sh
+++ b/tests/queries/0_stateless/01502_log_tinylog_deadlock_race.sh
@@ -10,46 +10,40 @@ CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 . "$CURDIR"/../shell_config.sh
 
 
-function thread_create {
-    while true; do
-        $CLICKHOUSE_CLIENT --query "CREATE TABLE IF NOT EXISTS $1 (x UInt64, s Array(Nullable(String))) ENGINE = $2"
-        sleep 0.0$RANDOM
-    done
+function thread_create()
+{
+    $CLICKHOUSE_CLIENT --query "CREATE TABLE IF NOT EXISTS $1 (x UInt64, s Array(Nullable(String))) ENGINE = $2"
+    sleep 0.0$RANDOM
 }
 
-function thread_drop {
-    while true; do
-        $CLICKHOUSE_CLIENT --query "DROP TABLE IF EXISTS $1"
-        sleep 0.0$RANDOM
-    done
+function thread_drop()
+{
+    $CLICKHOUSE_CLIENT --query "DROP TABLE IF EXISTS $1"
+    sleep 0.0$RANDOM
 }
 
-function thread_rename {
-    while true; do
-        $CLICKHOUSE_CLIENT --query "RENAME TABLE $1 TO $2" 2>&1 | grep -v -e 'Received exception from server' -e '^(query: ' | grep -v -P 'Code: (60|57)'
-        sleep 0.0$RANDOM
-    done
+function thread_rename()
+{
+    $CLICKHOUSE_CLIENT --query "RENAME TABLE $1 TO $2" 2>&1 | grep -v -e 'Received exception from server' -e '^(query: ' | grep -v -P 'Code: (60|57)'
+    sleep 0.0$RANDOM
 }
 
-function thread_select {
-    while true; do
-        $CLICKHOUSE_CLIENT --query "SELECT * FROM $1 FORMAT Null" 2>&1 | grep -v -e 'Received exception from server' -e '^(query: ' | grep -v -P 'Code: (60|218)'
-        sleep 0.0$RANDOM
-    done
+function thread_select()
+{
+    $CLICKHOUSE_CLIENT --query "SELECT * FROM $1 FORMAT Null" 2>&1 | grep -v -e 'Received exception from server' -e '^(query: ' | grep -v -P 'Code: (60|218)'
+    sleep 0.0$RANDOM
 }
 
-function thread_insert {
-    while true; do
-        $CLICKHOUSE_CLIENT --query "INSERT INTO $1 SELECT rand64(1), [toString(rand64(2))] FROM numbers($2)" 2>&1 | grep -v -e 'Received exception from server' -e '^(query: '| grep -v -P 'Code: (60|218)'
-        sleep 0.0$RANDOM
-    done
+function thread_insert()
+{
+    $CLICKHOUSE_CLIENT --query "INSERT INTO $1 SELECT rand64(1), [toString(rand64(2))] FROM numbers($2)" 2>&1 | grep -v -e 'Received exception from server' -e '^(query: '| grep -v -P 'Code: (60|218)'
+    sleep 0.0$RANDOM
 }
 
-function thread_insert_select {
-    while true; do
-        $CLICKHOUSE_CLIENT --query "INSERT INTO $1 SELECT * FROM $2" 2>&1 | grep -v -e 'Received exception from server' -e '^(query: ' | grep -v -P 'Code: (60|218)'
-        sleep 0.0$RANDOM
-    done
+function thread_insert_select()
+{
+    $CLICKHOUSE_CLIENT --query "INSERT INTO $1 SELECT * FROM $2" 2>&1 | grep -v -e 'Received exception from server' -e '^(query: ' | grep -v -P 'Code: (60|218)'
+    sleep 0.0$RANDOM
 }
 
 export -f thread_create
@@ -65,18 +59,18 @@ export -f thread_insert_select
 function test_with_engine {
     echo "Testing $1"
 
-    timeout 10 bash -c "thread_create t1 $1" &
-    timeout 10 bash -c "thread_create t2 $1" &
-    timeout 10 bash -c 'thread_drop t1' &
-    timeout 10 bash -c 'thread_drop t2' &
-    timeout 10 bash -c 'thread_rename t1 t2' &
-    timeout 10 bash -c 'thread_rename t2 t1' &
-    timeout 10 bash -c 'thread_select t1' &
-    timeout 10 bash -c 'thread_select t2' &
-    timeout 10 bash -c 'thread_insert t1 5' &
-    timeout 10 bash -c 'thread_insert t2 10' &
-    timeout 10 bash -c 'thread_insert_select t1 t2' &
-    timeout 10 bash -c 'thread_insert_select t2 t1' &
+    clickhouse_client_loop_timeout 10 thread_create t1 $1 &
+    clickhouse_client_loop_timeout 10 thread_create t2 $1 &
+    clickhouse_client_loop_timeout 10 thread_drop t1 &
+    clickhouse_client_loop_timeout 10 thread_drop t2 &
+    clickhouse_client_loop_timeout 10 thread_rename t1 t2 &
+    clickhouse_client_loop_timeout 10 thread_rename t2 t1 &
+    clickhouse_client_loop_timeout 10 thread_select t1 &
+    clickhouse_client_loop_timeout 10 thread_select t2 &
+    clickhouse_client_loop_timeout 10 thread_insert t1 5 &
+    clickhouse_client_loop_timeout 10 thread_insert t2 10 &
+    clickhouse_client_loop_timeout 10 thread_insert_select t1 t2 &
+    clickhouse_client_loop_timeout 10 thread_insert_select t2 t1 &
 
     wait
     echo "Done $1"
diff --git a/tests/queries/0_stateless/01675_data_type_coroutine.sh b/tests/queries/0_stateless/01675_data_type_coroutine.sh
index 4106d0d7f73..687ff6ac473 100755
--- a/tests/queries/0_stateless/01675_data_type_coroutine.sh
+++ b/tests/queries/0_stateless/01675_data_type_coroutine.sh
@@ -17,3 +17,9 @@ while [[ $counter -lt $retries ]]; do
 done
 
 echo 'Ok'
+
+# wait queries, since there is 'Maximum parse depth' error on the client
+# and in this case it simply reset the connection and don't read everything
+# from server, so there is no guarantee that the query is stopped when the
+# client returns
+clickhouse_test_wait_queries 60
diff --git a/tests/queries/0_stateless/01675_data_type_coroutine_2.sh b/tests/queries/0_stateless/01675_data_type_coroutine_2.sh
index 501b9d4ab12..9c4ed81e345 100755
--- a/tests/queries/0_stateless/01675_data_type_coroutine_2.sh
+++ b/tests/queries/0_stateless/01675_data_type_coroutine_2.sh
@@ -17,3 +17,9 @@ done
 
 #echo "I = ${I}"
 echo 'Ok'
+
+# wait queries, since there is 'Maximum parse depth' error on the client
+# and in this case it simply reset the connection and don't read everything
+# from server, so there is no guarantee that the query is stopped when the
+# client returns
+clickhouse_test_wait_queries 60
diff --git a/tests/queries/0_stateless/01731_async_task_queue_wait.sh b/tests/queries/0_stateless/01731_async_task_queue_wait.sh
index e0babf3c6ff..6fdd676f336 100755
--- a/tests/queries/0_stateless/01731_async_task_queue_wait.sh
+++ b/tests/queries/0_stateless/01731_async_task_queue_wait.sh
@@ -8,3 +8,5 @@ CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 # cancellation with async_socket_for_remote=1 (that ignores
 # max_distributed_connections)
 timeout --signal=SIGINT 1 ${CLICKHOUSE_CLIENT} --max_distributed_connections=1 --max_block_size=2  --interactive_delay=900000 -q "select number + sleep(0.3) as x from remote('127.{2,3}', system.numbers) settings max_block_size = 2" 2>&1 | grep "Empty task was returned from async task queue" || true
+
+clickhouse_test_wait_queries 60
diff --git a/tests/queries/0_stateless/02104_overcommit_memory.sh b/tests/queries/0_stateless/02104_overcommit_memory.sh
index 140557304c6..7fdf74a30bf 100755
--- a/tests/queries/0_stateless/02104_overcommit_memory.sh
+++ b/tests/queries/0_stateless/02104_overcommit_memory.sh
@@ -5,21 +5,19 @@ CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 # shellcheck source=../shell_config.sh
 . "$CURDIR"/../shell_config.sh
 
-$CLICKHOUSE_CLIENT -q 'CREATE USER IF NOT EXISTS u1 IDENTIFIED WITH no_password'
-$CLICKHOUSE_CLIENT -q 'GRANT ALL ON *.* TO u1'
+$CLICKHOUSE_CLIENT -q 'DROP USER IF EXISTS u02104'
+$CLICKHOUSE_CLIENT -q 'CREATE USER IF NOT EXISTS u02104 IDENTIFIED WITH no_password'
+$CLICKHOUSE_CLIENT -q 'GRANT ALL ON *.* TO u02104'
 
 function overcommited()
 {
-    while true; do
-        $CLICKHOUSE_CLIENT -u u1 -q 'SELECT number FROM numbers(130000) GROUP BY number SETTINGS max_guaranteed_memory_usage=1,memory_usage_overcommit_max_wait_microseconds=500' 2>&1 | grep -F -q "MEMORY_LIMIT_EXCEEDED" && echo "OVERCOMMITED WITH USER LIMIT IS KILLED"
-    done
+    $CLICKHOUSE_CLIENT -u u02104 -q 'SELECT number FROM numbers(130000) GROUP BY number SETTINGS max_guaranteed_memory_usage=1,memory_usage_overcommit_max_wait_microseconds=500' 2>&1 \
+        | grep -F -q "MEMORY_LIMIT_EXCEEDED" && echo "OVERCOMMITED WITH USER LIMIT IS KILLED"
 }
 
 function expect_execution()
 {
-    while true; do
-        $CLICKHOUSE_CLIENT -u u1 -q 'SELECT number FROM numbers(130000) GROUP BY number SETTINGS max_memory_usage_for_user=5000000,max_guaranteed_memory_usage=2,memory_usage_overcommit_max_wait_microseconds=500' >/dev/null 2>/dev/null
-    done
+    $CLICKHOUSE_CLIENT -u u02104 -q 'SELECT number FROM numbers(130000) GROUP BY number SETTINGS max_memory_usage_for_user=5000000,max_guaranteed_memory_usage=2,memory_usage_overcommit_max_wait_microseconds=500' >/dev/null 2>/dev/null
 }
 
 export -f overcommited
@@ -29,9 +27,9 @@ function user_test()
 {
     for _ in {1..10};
     do
-        timeout 10 bash -c overcommited &
-        timeout 10 bash -c expect_execution &
-    done;
+        clickhouse_client_loop_timeout 10 overcommited &
+        clickhouse_client_loop_timeout 10 expect_execution &
+    done
 
     wait
 }
@@ -45,4 +43,4 @@ else
     echo "OVERCOMMITED WITH USER LIMIT WAS KILLED"
 fi
 
-$CLICKHOUSE_CLIENT -q 'DROP USER IF EXISTS u1'
+$CLICKHOUSE_CLIENT -q 'DROP USER IF EXISTS u02104'
diff --git a/tests/queries/0_stateless/02151_http_s_structure_set_eof.sh b/tests/queries/0_stateless/02151_http_s_structure_set_eof.sh
index 448fa9bfede..c3dfc4d03a8 100755
--- a/tests/queries/0_stateless/02151_http_s_structure_set_eof.sh
+++ b/tests/queries/0_stateless/02151_http_s_structure_set_eof.sh
@@ -1,4 +1,5 @@
 #!/usr/bin/env bash
+# Tags: long
 
 CURDIR=$(cd "$(dirname "${BASH_SOURCE[0]}")" && pwd)
 # shellcheck source=../shell_config.sh
@@ -25,3 +26,9 @@ timeout 0.15s ${CLICKHOUSE_CURL} -sS -F "s=@$tmp_file;" "${CLICKHOUSE_URL}&s_str
 echo $?
 timeout 0.15s ${CLICKHOUSE_CURL} -sS -F "s=@$tmp_file;" "${CLICKHOUSE_URL}&s_structure=key+Int&query=SELECT+dummy+IN+s&input_format_parallel_parsing=false" -o /dev/null
 echo $?
+
+# wait until the query above will start,
+# so that clickhouse_test_wait_queries will see them.
+sleep 5
+
+clickhouse_test_wait_queries 60