diff --git a/Lib/test/eintrdata/eintr_tester.py b/Lib/test/eintrdata/eintr_tester.py
index 25c169bde5005f5..5f956b548fc40aa 100644
--- a/Lib/test/eintrdata/eintr_tester.py
+++ b/Lib/test/eintrdata/eintr_tester.py
@@ -12,6 +12,7 @@
 import faulthandler
 import fcntl
 import os
+import platform
 import select
 import signal
 import socket
@@ -518,6 +519,9 @@ def _lock(self, lock_func, lock_name):
                 self.stop_alarm()
             proc.wait()
 
+    # Issue 35633: See https://bugs.python.org/issue35633#msg333662
+    # skip test rather than accept PermissionError from all platforms
+    @unittest.skipIf(platform.system() == "AIX", "AIX returns PermissionError")
     def test_lockf(self):
         self._lock(fcntl.lockf, "lockf")