diff --git a/Lib/test/test_posix.py b/Lib/test/test_posix.py
index c04c679..b936dda 100644
--- a/Lib/test/test_posix.py
+++ b/Lib/test/test_posix.py
@@ -334,7 +334,16 @@
     def _test_chflags_regular_file(self, chflags_func, target_file):
         st = os.stat(target_file)
         self.assertTrue(hasattr(st, 'st_flags'))
-        chflags_func(target_file, st.st_flags | stat.UF_IMMUTABLE)
+
+        # ZFS returns EOPNOTSUPP when attempting to set flag UF_IMMUTABLE.
+        try:
+            chflags_func(target_file, st.st_flags | stat.UF_IMMUTABLE)
+        except OSError as err:
+            if err.errno != errno.EOPNOTSUPP:
+                raise
+            msg = 'chflag UF_IMMUTABLE not supported by underlying fs'
+            self.skipTest(msg)
+
         try:
             new_st = os.stat(target_file)
             self.assertEqual(st.st_flags | stat.UF_IMMUTABLE, new_st.st_flags)
@@ -363,8 +372,16 @@
         self.teardown_files.append(_DUMMY_SYMLINK)
         dummy_symlink_st = os.lstat(_DUMMY_SYMLINK)
 
-        posix.lchflags(_DUMMY_SYMLINK,
-                       dummy_symlink_st.st_flags | stat.UF_IMMUTABLE)
+        # ZFS returns EOPNOTSUPP when attempting to set flag UF_IMMUTABLE.
+        try:
+            posix.lchflags(_DUMMY_SYMLINK,
+                           dummy_symlink_st.st_flags | stat.UF_IMMUTABLE)
+        except OSError as err:
+            if err.errno != errno.EOPNOTSUPP:
+                raise
+            msg = 'chflag UF_IMMUTABLE not supported by underlying fs'
+            self.skipTest(msg)
+
         try:
             new_testfn_st = os.stat(support.TESTFN)
             new_dummy_symlink_st = os.lstat(_DUMMY_SYMLINK)