diff --git a/Lib/test/test_shutil.py b/Lib/test/test_shutil.py
index ee15d0e..b63031e 100644
--- a/Lib/test/test_shutil.py
+++ b/Lib/test/test_shutil.py
@@ -149,6 +149,20 @@
                 except OSError:
                     pass
 
+        def test_rmtree_on_symlink(self):
+            # bug 1669.
+            os.mkdir(TESTFN)
+            try:
+                src = os.path.join(TESTFN, 'cheese')
+                dst = os.path.join(TESTFN, 'shop')
+                os.mkdir(src)
+                os.symlink(src, dst)
+                self.assertRaises(OSError, shutil.rmtree, dst)
+            finally:
+                shutil.rmtree(TESTFN, ignore_errors=True)
+
+
+
 def test_main():
     test_support.run_unittest(TestShutil)