diff --git a/tests/queries/0_stateless/02956_fix_to_start_of_milli_microsecond.reference b/tests/queries/0_stateless/02956_fix_to_start_of_milli_microsecond.reference
index 59c1800c624..d3a002c4fd4 100644
--- a/tests/queries/0_stateless/02956_fix_to_start_of_milli_microsecond.reference
+++ b/tests/queries/0_stateless/02956_fix_to_start_of_milli_microsecond.reference
@@ -1,2 +1,4 @@
 2023-10-09 10:11:12.001
+2023-10-09 10:11:12.001
+2023-10-09 10:11:12.000
 2023-10-09 10:11:12.000
diff --git a/tests/queries/0_stateless/02956_fix_to_start_of_milli_microsecond.sql b/tests/queries/0_stateless/02956_fix_to_start_of_milli_microsecond.sql
index 1d6538c06ea..178f21a9e63 100644
--- a/tests/queries/0_stateless/02956_fix_to_start_of_milli_microsecond.sql
+++ b/tests/queries/0_stateless/02956_fix_to_start_of_milli_microsecond.sql
@@ -1,2 +1,4 @@
 SELECT toStartOfInterval(toDateTime64('2023-10-09 10:11:12.000999', 6), toIntervalMillisecond(1));
+SELECT toStartOfInterval(toDateTime64('2023-10-09 10:11:12.000500', 6), toIntervalMillisecond(1));
+SELECT toStartOfInterval(toDateTime64('2023-10-09 10:11:12.000499', 6), toIntervalMillisecond(1));
 SELECT toStartOfInterval(toDateTime64('2023-10-09 10:11:12.000999', 6), toIntervalMillisecond(10));
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