diff --git a/Lib/tempfile.py b/Lib/tempfile.py
index b7439a2..a450003 100644
--- a/Lib/tempfile.py
+++ b/Lib/tempfile.py
@@ -661,6 +661,7 @@ class TemporaryDirectory(object):
     _listdir = staticmethod(_os.listdir)
     _path_join = staticmethod(_os.path.join)
     _isdir = staticmethod(_os.path.isdir)
+    _islink = staticmethod(_os.path.islink)
     _remove = staticmethod(_os.remove)
     _rmdir = staticmethod(_os.rmdir)
     _os_error = _os.error
@@ -672,7 +673,7 @@ class TemporaryDirectory(object):
         for name in self._listdir(path):
             fullname = self._path_join(path, name)
             try:
-                isdir = self._isdir(fullname)
+                isdir = self._isdir(fullname) and not self._islink(fullname)
             except self._os_error:
                 isdir = False
             if isdir:
diff --git a/Lib/test/test_tempfile.py b/Lib/test/test_tempfile.py
index 2d29885..f7f5bda 100644
--- a/Lib/test/test_tempfile.py
+++ b/Lib/test/test_tempfile.py
@@ -964,6 +964,27 @@ class test_TemporaryDirectory(TC):
         finally:
             os.rmdir(dir)
 
+    @support.skip_unless_symlink
+    def test_cleanup_with_symlink_to_a_directory(self):
+        # cleanup() should not follow symlinks to directories (issue #12464)
+        d1 = self.do_create()
+        d2 = self.do_create()
+
+        # Symlink d1/foo -> d2
+        os.symlink(d2.name, os.path.join(d1.name, "foo"))
+
+        # This call to cleanup() should not follow the "foo" symlink
+        d1.cleanup()
+
+        self.assertFalse(os.path.exists(d1.name),
+                         "TemporaryDirectory %s exists after cleanup" % d1.name)
+        self.assertTrue(os.path.exists(d2.name),
+                        "Directory pointed to by a symlink was deleted")
+        self.assertEqual(os.listdir(d2.name), ['test.txt'],
+                         "Contents of the directory pointed to by a symlink "
+                         "were deleted")
+        d2.cleanup()
+
     @support.cpython_only
     def test_del_on_collection(self):
         # A TemporaryDirectory is deleted when garbage collected