diff --git a/packages/flutter/test/widgets/reorderable_list_test.dart b/packages/flutter/test/widgets/reorderable_list_test.dart
index 4f9522d949..9887f880c6 100644
--- a/packages/flutter/test/widgets/reorderable_list_test.dart
+++ b/packages/flutter/test/widgets/reorderable_list_test.dart
@@ -2,6 +2,13 @@
 // Use of this source code is governed by a BSD-style license that can be
 // found in the LICENSE file.
 
+// TODO(dnfield): Remove this tag once this test's state leaks/test
+// dependencies have been fixed.
+// https://github.com/flutter/flutter/issues/137696
+// Fails with "flutter test --test-randomize-ordering-seed=20231101"
+@Tags(<String>['no-shuffle'])
+library;
+
 import 'package:flutter/gestures.dart';
 import 'package:flutter/material.dart';
 import 'package:flutter/rendering.dart';