diff --git a/Lib/test/test_posix.py b/Lib/test/test_posix.py
@@ -724,11 +724,20 @@ def check_stat(uid, gid):
        chown_func(first_param, uid, -1)
        check_stat(uid, gid)

-        if uid == 0:
            # Try an amusingly large uid/gid to make sure we handle
            # large unsigned values.  (chown lets you use any
            # uid/gid you like, even if they aren't defined.)
            #
            # This problem keeps coming up:
            #   http://bugs.python.org/issue1747858
            #   http://bugs.python.org/issue4591
@@ -738,7 +747,7 @@ def check_stat(uid, gid):
            # This part of the test only runs when run as root.
            # Only scary people run their tests as root.

-            big_value = 2**31
            chown_func(first_param, big_value, big_value)
            check_stat(big_value, big_value)
            chown_func(first_param, -1, -1)

diff --git a/Misc/NEWS.d/next/Tests/2020-12-09-15-23-28.bpo-31904.ghj38d.rst b/Misc/NEWS.d/next/Tests/2020-12-09-15-23-28.bpo-31904.ghj38d.rst
@@ -0,0 +1 @@