diff --git a/Lib/test/regrtest.py b/Lib/test/regrtest.py
--- a/Lib/test/regrtest.py
+++ b/Lib/test/regrtest.py
@@ -1555,13 +1555,9 @@
         except FileExistsError:
             pass
 
-    # 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
-    # testing (see the -j option).
-    TESTCWD = 'test_python_{}'.format(os.getpid())
+    TESTCWD = os.path.join(TEMPDIR, 'test')
+    return TEMPDIR, TESTCWD
 
-    TESTCWD = os.path.join(TEMPDIR, TESTCWD)
-    return TEMPDIR, TESTCWD
 
 if __name__ == '__main__':
     # Remove regrtest.py's own directory from the module search path. Despite
@@ -1591,5 +1587,5 @@
     # temporary and writable directory. If it's not possible to create or
     # change the CWD, the original CWD will be used. The original CWD is
     # available from support.SAVEDCWD.
-    with support.temp_cwd(TESTCWD, quiet=True):
+    with support.temp_cwd(quiet=True, path=TESTCWD):
         main()