diff --git a/plugin/trino-singlestore/src/test/java/io/trino/plugin/singlestore/TestSingleStoreConnectorTest.java b/plugin/trino-singlestore/src/test/java/io/trino/plugin/singlestore/TestSingleStoreConnectorTest.java
index c25a5464ba04..68971c65ff29 100644
--- a/plugin/trino-singlestore/src/test/java/io/trino/plugin/singlestore/TestSingleStoreConnectorTest.java
+++ b/plugin/trino-singlestore/src/test/java/io/trino/plugin/singlestore/TestSingleStoreConnectorTest.java
@@ -223,6 +223,31 @@ public void testSingleStoreTinyint()
         assertUpdate("DROP TABLE mysql_test_tinyint1");
     }
 
+    // Overridden because the method from BaseConnectorTest fails on one of the assertions, see TODO below
+    @Override
+    public void testInsertIntoNotNullColumn()
+    {
+        try (TestTable table = new TestTable(getQueryRunner()::execute, "insert_not_null", "(nullable_col INTEGER, not_null_col INTEGER NOT NULL)")) {
+            assertUpdate(format("INSERT INTO %s (not_null_col) VALUES (2)", table.getName()), 1);
+            assertQuery("SELECT * FROM " + table.getName(), "VALUES (NULL, 2)");
+            assertQueryFails(format("INSERT INTO %s (nullable_col) VALUES (1)", table.getName()), errorMessageForInsertIntoNotNullColumn("not_null_col"));
+            assertQueryFails(format("INSERT INTO %s (not_null_col, nullable_col) VALUES (NULL, 3)", table.getName()), "NULL value not allowed for NOT NULL column: not_null_col");
+            assertQueryFails(format("INSERT INTO %s (not_null_col, nullable_col) VALUES (TRY(5/0), 4)", table.getName()), "NULL value not allowed for NOT NULL column: not_null_col");
+            assertQueryFails(format("INSERT INTO %s (not_null_col) VALUES (TRY(6/0))", table.getName()), "NULL value not allowed for NOT NULL column: not_null_col");
+            assertQueryFails(format("INSERT INTO %s (nullable_col) SELECT nationkey FROM nation", table.getName()), errorMessageForInsertIntoNotNullColumn("not_null_col"));
+            // TODO (https://github.com/trinodb/trino/issues/13551) This doesn't fail for other connectors so
+            //  probably shouldn't fail for SingleStore either. Once fixed, remove test override.
+            assertQueryFails(format("INSERT INTO %s (nullable_col) SELECT nationkey FROM nation WHERE regionkey < 0", table.getName()), ".*Field 'not_null_col' doesn't have a default value.*");
+        }
+
+        try (TestTable table = new TestTable(getQueryRunner()::execute, "commuted_not_null", "(nullable_col BIGINT, not_null_col BIGINT NOT NULL)")) {
+            assertUpdate(format("INSERT INTO %s (not_null_col) VALUES (2)", table.getName()), 1);
+            assertQuery("SELECT * FROM " + table.getName(), "VALUES (NULL, 2)");
+            // This is enforced by the engine and not the connector
+            assertQueryFails(format("INSERT INTO %s (not_null_col, nullable_col) VALUES (NULL, 3)", table.getName()), "NULL value not allowed for NOT NULL column: not_null_col");
+        }
+    }
+
     @Override
     protected String errorMessageForInsertIntoNotNullColumn(String columnName)
     {