diff --git a/Lib/test/test_fcntl.py b/Lib/test/test_fcntl.py
index e0e6782258f..e1c72c6ab7e 100644
--- a/Lib/test/test_fcntl.py
+++ b/Lib/test/test_fcntl.py
@@ -11,7 +11,7 @@
     cpython_only, get_pagesize, is_apple, requires_subprocess, verbose
 )
 from test.support.import_helper import import_module
-from test.support.os_helper import TESTFN, unlink
+from test.support.os_helper import TESTFN, unlink, make_bad_fd


 # Skip test if no fcntl module.
@@ -274,6 +274,13 @@ def test_fcntl_small_buffer(self):
     def test_fcntl_large_buffer(self):
         self._check_fcntl_not_mutate_len(2024)

+    @unittest.skipUnless(hasattr(fcntl, 'FICLONE'), 'need fcntl.FICLONE')
+    def test_bad_fd(self):
+        # gh-134744: Test error handling
+        fd = make_bad_fd()
+        with self.assertRaises(OSError):
+            fcntl.ioctl(fd, fcntl.F_DUPFD, 0)
+

 if __name__ == '__main__':
     unittest.main()
diff --git a/Lib/test/test_ioctl.py b/Lib/test/test_ioctl.py
index 3c7a58aa2bc..e2f94dbf5dd 100644
--- a/Lib/test/test_ioctl.py
+++ b/Lib/test/test_ioctl.py
@@ -5,7 +5,7 @@
 import threading
 import unittest
 from test import support
-from test.support import threading_helper
+from test.support import os_helper, threading_helper
 from test.support.import_helper import import_module
 fcntl = import_module('fcntl')
 termios = import_module('termios')
@@ -201,6 +201,15 @@ def test_ioctl_set_window_size(self):
         new_winsz = struct.unpack("HHHH", result)
         self.assertEqual(new_winsz[:2], (20, 40))

+    @unittest.skipUnless(hasattr(fcntl, 'FICLONE'), 'need fcntl.FICLONE')
+    def test_bad_fd(self):
+        # gh-134744: Test error handling
+        with open(__file__) as fp:
+            fd1 = fp.fileno()
+            fd2 = os_helper.make_bad_fd()
+            with self.assertRaises(OSError):
+                fcntl.ioctl(fd1, fcntl.FICLONE, fd2)
+

 if __name__ == "__main__":
     unittest.main()