diff --git a/Lib/test/test_fcntl.py b/Lib/test/test_fcntl.py
index b84c98ef3a2972..0570257c5230d5 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.
@@ -228,6 +228,15 @@ def test_fcntl_f_pipesize(self):
             os.close(test_pipe_r)
             os.close(test_pipe_w)
 
+    @unittest.skipUnless(hasattr(fcntl, 'F_DUPFD'), 'need fcntl.F_DUPFD')
+    def test_bad_fd(self):
+        # gh-134744: Test error handling
+        fd = make_bad_fd()
+        with self.assertRaises(OSError):
+            fcntl.fcntl(fd, fcntl.F_DUPFD, 0)
+        with self.assertRaises(OSError):
+            fcntl.fcntl(fd, fcntl.F_DUPFD, b'\0' * 1024)
+
 
 if __name__ == '__main__':
     unittest.main()
diff --git a/Lib/test/test_ioctl.py b/Lib/test/test_ioctl.py
index 980a20aadc0bde..9531282d6bab7d 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')
@@ -208,6 +208,15 @@ def test_ioctl_signed_unsigned_code_param(self):
         new_winsz = fcntl.ioctl(self.master_fd, set_winsz_opcode_pos, our_winsz)
         new_winsz = fcntl.ioctl(self.master_fd, set_winsz_opcode_maybe_neg, our_winsz)
 
+    @unittest.skipUnless(hasattr(fcntl, 'FICLONE'), 'need fcntl.FICLONE')
+    def test_bad_fd(self):
+        # gh-134744: Test error handling
+        fd = os_helper.make_bad_fd()
+        with self.assertRaises(OSError):
+            fcntl.ioctl(fd, fcntl.FICLONE, fd)
+        with self.assertRaises(OSError):
+            fcntl.ioctl(fd, fcntl.FICLONE, b'\0' * 1024)
+
 
 if __name__ == "__main__":
     unittest.main()