diff --git a/Lib/test/test_datetime.py b/Lib/test/test_datetime.py
index 84f45b4..cdc9eed 100644
--- a/Lib/test/test_datetime.py
+++ b/Lib/test/test_datetime.py
@@ -850,9 +850,13 @@
         self.assertRaises(TypeError, t.strftime, "one", "two") # too many args
         self.assertRaises(TypeError, t.strftime, 42) # arg wrong type
 
+        # test that unicode input is allowed (issue 2782)
+        self.assertEqual(t.strftime(u"%m"), "03")
+
         # A naive object replaces %z and %Z w/ empty strings.
         self.assertEqual(t.strftime("'%z' '%Z'"), "'' ''")
 
+
     def test_format(self):
         dt = self.theclass(2007, 9, 10)
         self.assertEqual(dt.__format__(''), str(dt))