diff --git a/Lib/test/test_mmap.py b/Lib/test/test_mmap.py
index f8de8c2e63b..b8a0135043f 100644
--- a/Lib/test/test_mmap.py
+++ b/Lib/test/test_mmap.py
@@ -717,7 +717,10 @@ def test_resize_past_pos(self):
         m = mmap.mmap(-1, 8192)
         self.addCleanup(m.close)
         m.read(5000)
-        m.resize(4096)
+        try:
+            m.resize(4096)
+        except SystemError:
+            self.skipTest("resizing not supported")
         self.assertEqual(m.read(14), b'')
         self.assertRaises(ValueError, m.read_byte,)
         self.assertRaises(ValueError, m.write_byte, 42)