diff -r 9ea07e65ed2a Lib/shutil.py
--- a/Lib/shutil.py	Tue May 01 18:15:13 2012 +0200
+++ b/Lib/shutil.py	Wed May 02 17:42:58 2012 +0200
@@ -160,8 +160,10 @@
         try:
             chflags_func(dst, st.st_flags)
         except OSError as why:
-            if (not hasattr(errno, 'EOPNOTSUPP') or
-                why.errno != errno.EOPNOTSUPP):
+            for err in 'EOPNOTSUPP', 'ENOTSUP':
+                if hasattr(errno, err) and why.errno == getattr(errno, err):
+                    break
+            else:
                 raise
 
 def copy(src, dst, symlinks=False):
diff -r 9ea07e65ed2a Lib/test/test_shutil.py
--- a/Lib/test/test_shutil.py	Tue May 01 18:15:13 2012 +0200
+++ b/Lib/test/test_shutil.py	Wed May 02 17:42:58 2012 +0200
@@ -282,6 +282,35 @@
         self.assertTrue(abs(os.stat(src).st_mtime - os.stat(dst).st_mtime) <
                         00000.1)
 
+    @unittest.skipUnless(hasattr(os, 'chflags') and
+                         hasattr(errno, 'EOPNOTSUPP') and
+                         hasattr(errno, 'ENOTSUP'),
+                         "requires os.chflags, EOPNOTSUPP & ENOTSUP")
+    def test_copystat_handles_harmless_chflags_errors(self):
+        tmpdir = self.mkdtemp()
+        file1 = os.path.join(tmpdir, 'file1')
+        file2 = os.path.join(tmpdir, 'file2')
+        write_file(file1, 'xxx')
+        write_file(file2, 'xxx')
+
+        def make_chflags_raiser(err):
+            ex = OSError()
+
+            def _chflags_raiser(path, flags):
+                ex.errno = err
+                raise ex
+            return _chflags_raiser
+        old_chflags = os.chflags
+        try:
+            for err in errno.EOPNOTSUPP, errno.ENOTSUP:
+                os.chflags = make_chflags_raiser(err)
+                shutil.copystat(file1, file2)
+            # assert others errors break it
+            os.chflags = make_chflags_raiser(errno.EOPNOTSUPP + errno.ENOTSUP)
+            self.assertRaises(OSError, shutil.copystat, file1, file2)
+        finally:
+            os.chflags = old_chflags
+
     @support.skip_unless_symlink
     def test_copy_symlinks(self):
         tmp_dir = self.mkdtemp()