diff --git a/Lib/test/test_os.py b/Lib/test/test_os.py
index 26c5482..741224c 100644
--- a/Lib/test/test_os.py
+++ b/Lib/test/test_os.py
@@ -23,6 +23,13 @@
         os.close(f)
         self.assert_(os.access(test_support.TESTFN, os.W_OK))
 
+    def test_rename(self):
+        path = unicode(test_support.TESTFN)
+        old = sys.getrefcount(path)
+        self.assertRaises(TypeError, os.rename, path, 0)
+        new = sys.getrefcount(path)
+        self.assertEqual(old, new)
+
 
 class TemporaryFileTests(unittest.TestCase):
     def setUp(self):