diff --git a/tests/x509/verification/test_verification.py b/tests/x509/verification/test_verification.py
index d4b0bc07d606..608d81f54a5b 100644
--- a/tests/x509/verification/test_verification.py
+++ b/tests/x509/verification/test_verification.py
@@ -103,3 +103,27 @@ def test_store_rejects_empty_list(self):
     def test_store_rejects_non_certificates(self):
         with pytest.raises(TypeError):
             Store(["not a cert"])  # type: ignore[list-item]
+
+
+class TestServerVerifier:
+    def test_verify_tz_aware(self):
+        # expires 2018-11-16 01:15:03 GMT
+        leaf = _load_cert(
+            os.path.join("x509", "cryptography.io.pem"),
+            x509.load_pem_x509_certificate,
+        )
+
+        store = Store([leaf])
+
+        builder = PolicyBuilder().store(store)
+        # 00:15:03 in GMT+2, or 02:15:03 local time
+        builder = builder.time(
+            datetime.datetime.fromisoformat("2018-11-16T00:15:03+02:00")
+        )
+        verifier = builder.build_server_verifier(DNSName("cryptography.io"))
+
+        with pytest.raises(
+            x509.verification.VerificationError,
+            match="cert is not valid at validation time",
+        ):
+            verifier.verify(leaf, [])