diff --git a/Lib/test/regrtest.py b/Lib/test/regrtest.py
index 89acb9b..e2e3765 100755
--- a/Lib/test/regrtest.py
+++ b/Lib/test/regrtest.py
@@ -162,6 +162,7 @@
 import io
 import sys
 import time
+import errno
 import traceback
 import warnings
 import unittest
@@ -1511,8 +1512,11 @@
     if sysconfig.is_python_build():
         TEMPDIR = os.path.join(sysconfig.get_config_var('srcdir'), 'build')
         TEMPDIR = os.path.abspath(TEMPDIR)
-        if not os.path.exists(TEMPDIR):
+        try:
             os.mkdir(TEMPDIR)
+        except OSError as e:
+            if e.errno != errno.EEXIST:
+                raise
 
     # Define a writable temp dir that will be used as cwd while running
     # the tests. The name of the dir includes the pid to allow parallel
diff --git a/Misc/NEWS b/Misc/NEWS
index 01b5119..f5f08e4 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -269,6 +269,8 @@
 Tests
 -----
 
+- Fix possible "file already exists" error when running the tests in parallel.
+
 - Issue #11719: Fix message about unexpected test_msilib skip on non-Windows
   platforms. Patch by Nadeem Vawda.