diff --git a/tests/queries/0_stateless/03222_parallel_replicas_min_marks_to_read_overflow.reference b/tests/queries/0_stateless/03222_parallel_replicas_min_marks_to_read_overflow.reference
new file mode 100644
index 00000000000..7fafd4d13ea
--- /dev/null
+++ b/tests/queries/0_stateless/03222_parallel_replicas_min_marks_to_read_overflow.reference
@@ -0,0 +1,10 @@
+100	100
+101	101
+102	102
+103	103
+104	104
+105	105
+106	106
+107	107
+108	108
+109	109
diff --git a/tests/queries/0_stateless/03222_parallel_replicas_min_marks_to_read_overflow.sql b/tests/queries/0_stateless/03222_parallel_replicas_min_marks_to_read_overflow.sql
new file mode 100644
index 00000000000..112373e5db2
--- /dev/null
+++ b/tests/queries/0_stateless/03222_parallel_replicas_min_marks_to_read_overflow.sql
@@ -0,0 +1,15 @@
+DROP TABLE IF EXISTS test__fuzz_22 SYNC;
+
+CREATE TABLE test__fuzz_22 (k Float32, v String) ENGINE = ReplicatedMergeTree('/clickhouse/03222/{database}/test__fuzz_22', 'r1') ORDER BY k SETTINGS index_granularity = 1;
+
+INSERT INTO test__fuzz_22 SELECT number, toString(number) FROM numbers(10_000);
+
+SET allow_experimental_parallel_reading_from_replicas = 2, max_parallel_replicas = 3, cluster_for_parallel_replicas='test_cluster_one_shard_three_replicas_localhost';
+
+SELECT k, v
+FROM test__fuzz_22
+ORDER BY k
+LIMIT 100, 10
+SETTINGS merge_tree_min_rows_for_concurrent_read = 9223372036854775806;
+
+DROP TABLE test__fuzz_22 SYNC;