diff --git a/Lib/test/support/__init__.py b/Lib/test/support/__init__.py
index d80472d8776f6c..775d7e6a12917c 100644
--- a/Lib/test/support/__init__.py
+++ b/Lib/test/support/__init__.py
@@ -2056,7 +2056,7 @@ def wait_process(pid, *, exitcode, timeout=None):
             # process is still running
 
             dt = time.monotonic() - t0
-            if dt > SHORT_TIMEOUT:
+            if dt > timeout:
                 try:
                     os.kill(pid, signal.SIGKILL)
                     os.waitpid(pid, 0)
@@ -2065,7 +2065,8 @@ def wait_process(pid, *, exitcode, timeout=None):
                     pass
 
                 raise AssertionError(f"process {pid} is still running "
-                                     f"after {dt:.1f} seconds")
+                                     f"after {dt:.1f} seconds, "
+                                     f"timeout is {timeout} seconds")
 
             sleep = min(sleep * 2, max_sleep)
             time.sleep(sleep)
diff --git a/Lib/test/test_logging.py b/Lib/test/test_logging.py
index 4f3315161cf20f..adf12d7f6c2ddf 100644
--- a/Lib/test/test_logging.py
+++ b/Lib/test/test_logging.py
@@ -747,7 +747,7 @@ def lock_holder_thread_fn():
             fork_happened__release_locks_and_end_thread.set()
             lock_holder_thread.join()
 
-            support.wait_process(pid, exitcode=0)
+            support.wait_process(pid, exitcode=0, timeout=support.LONG_TIMEOUT)
 
 
 class BadStream(object):