diff --git a/Lib/test/test_os.py b/Lib/test/test_os.py
index cf5f1d6ab6d..9dcdb1808fc 100644
--- a/Lib/test/test_os.py
+++ b/Lib/test/test_os.py
@@ -226,9 +226,11 @@ class StatAttributeTests(unittest.TestCase):
     def test_utime_dir(self):
         delta = 1000000
         st = os.stat(test_support.TESTFN)
-        os.utime(test_support.TESTFN, (st.st_atime, st.st_mtime-delta))
+        # round to int, because some systems may support sub-second
+        # time stamps in stat, but not in utime.
+        os.utime(test_support.TESTFN, (st.st_atime, int(st.st_mtime-delta)))
         st2 = os.stat(test_support.TESTFN)
-        self.assertAlmostEquals(st2.st_mtime, st.st_mtime-delta, 2)
+        self.assertEquals(st2.st_mtime, int(st.st_mtime-delta))
 
     # Restrict test to Win32, since there is no guarantee other
     # systems support centiseconds