diff --git a/tests/queries/0_stateless/01343_min_bytes_to_use_mmap_io.sql b/tests/queries/0_stateless/01343_min_bytes_to_use_mmap_io.sql
index 15c9ec16700..bc5b78eef0f 100644
--- a/tests/queries/0_stateless/01343_min_bytes_to_use_mmap_io.sql
+++ b/tests/queries/0_stateless/01343_min_bytes_to_use_mmap_io.sql
@@ -1,6 +1,6 @@
 -- Tags: no-object-storage
 DROP TABLE IF EXISTS test_01343;
-CREATE TABLE test_01343 (x String) ENGINE = MergeTree ORDER BY tuple() SETTINGS min_bytes_for_wide_part = 0;
+CREATE TABLE test_01343 (x String) ENGINE = MergeTree ORDER BY tuple() SETTINGS min_bytes_for_wide_part = 0, prewarm_mark_cache = 0;
 INSERT INTO test_01343 VALUES ('Hello, world');
 
 SET local_filesystem_read_method = 'mmap', min_bytes_to_use_mmap_io = 1;
diff --git a/tests/queries/0_stateless/01344_min_bytes_to_use_mmap_io_index.sql b/tests/queries/0_stateless/01344_min_bytes_to_use_mmap_io_index.sql
index 76cb535dcb7..6db6c65cc0f 100644
--- a/tests/queries/0_stateless/01344_min_bytes_to_use_mmap_io_index.sql
+++ b/tests/queries/0_stateless/01344_min_bytes_to_use_mmap_io_index.sql
@@ -1,6 +1,6 @@
 -- Tags: no-object-storage
 DROP TABLE IF EXISTS test_01344;
-CREATE TABLE test_01344 (x String, INDEX idx (x) TYPE set(10) GRANULARITY 1) ENGINE = MergeTree ORDER BY tuple() SETTINGS min_bytes_for_wide_part = 0;
+CREATE TABLE test_01344 (x String, INDEX idx (x) TYPE set(10) GRANULARITY 1) ENGINE = MergeTree ORDER BY tuple() SETTINGS min_bytes_for_wide_part = 0, prewarm_mark_cache = 0;
 INSERT INTO test_01344 VALUES ('Hello, world');
 
 SET local_filesystem_read_method = 'mmap', min_bytes_to_use_mmap_io = 1;