diff --git a/tests/test_builders/test_build_linkcheck.py b/tests/test_builders/test_build_linkcheck.py
index bdd8dea54c1..b0c74856b4e 100644
--- a/tests/test_builders/test_build_linkcheck.py
+++ b/tests/test_builders/test_build_linkcheck.py
@@ -1127,6 +1127,12 @@ def test_too_many_requests_retry_after_HTTP_date(tz, app, monkeypatch, capsys):
         ) as address:
             app.build()
 
+    # Undo side-effects: the monkeypatch context manager clears the TZ environment
+    # variable, but we also need to reset Python's internal notion of the current
+    # timezone.
+    if sys.platform != 'win32':
+        time.tzset()
+
     content = (app.outdir / 'output.json').read_text(encoding='utf8')
     assert json.loads(content) == {
         'filename': 'index.rst',