diff --git a/testing/alter_table.test b/testing/alter_table.test
index 172802395..8c5b25bec 100755
--- a/testing/alter_table.test
+++ b/testing/alter_table.test
@@ -204,3 +204,10 @@ do_execsql_test_on_specific_db {:memory:} alter-table-rename-to-quoted-identifie
     "CREATE INDEX idx ON \"t t\" (\"b b\")"
     "2"
 }
+
+# https://github.com/tursodatabase/turso/issues/3391
+do_execsql_test_on_specific_db {:memory:} alter-table-add-notnull-col {
+    CREATE TABLE t (a);
+	ALTER TABLE t ADD b NOT NULL;
+	.schema t
+} {{CREATE TABLE t (a, b NOT NULL);}}