diff --git a/Lib/multiprocessing/connection.py b/Lib/multiprocessing/connection.py
index a6e1b0c786284b..f577186e91b0d4 100644
--- a/Lib/multiprocessing/connection.py
+++ b/Lib/multiprocessing/connection.py
@@ -16,7 +16,6 @@
 import sys
 import socket
 import struct
-import tempfile
 import time
 
 
@@ -77,7 +76,11 @@ def arbitrary_address(family):
     if family == 'AF_INET':
         return ('localhost', 0)
     elif family == 'AF_UNIX':
-        return tempfile.mktemp(prefix='sock-', dir=util.get_temp_dir())
+        # NOTE: util.get_temp_dir() is a 0o700 per-process directory. A
+        # mktemp-style ToC vs ToU concern is not important; bind() surfaces
+        # the extremely unlikely collision as EADDRINUSE.
+        return os.path.join(util.get_temp_dir(),
+                            f'sock-{os.urandom(6).hex()}')
     elif family == 'AF_PIPE':
         return (r'\\.\pipe\pyc-%d-%d-%s' %
                 (os.getpid(), next(_mmap_counter), os.urandom(8).hex()))