diff --git a/Lib/test/test_tkinter/test_misc.py b/Lib/test/test_tkinter/test_misc.py
index e6221f7089704d0..5f75b8d245b3e99 100644
--- a/Lib/test/test_tkinter/test_misc.py
+++ b/Lib/test/test_tkinter/test_misc.py
@@ -592,7 +592,10 @@ def test_tk_inactive(self):
         ms = self.root.tk_inactive()
         self.assertIsInstance(ms, int)
         # A count of milliseconds, or -1 if the windowing system lacks support.
-        self.assertGreaterEqual(ms, -1)
+        if self.root._windowingsystem != 'win32':
+            # On Windows the value can overflow to a negative number
+            # (Tk ticket 3cb7c4ac72d4).
+            self.assertGreaterEqual(ms, -1)
         # Resetting the timer returns None and does not raise.
         self.assertIsNone(self.root.tk_inactive(reset=True))