diff --git a/tests/integration/test_homeassistant.py b/tests/integration/test_homeassistant.py
index d6faedc..e39e810 100644
--- a/tests/integration/test_homeassistant.py
+++ b/tests/integration/test_homeassistant.py
@@ -9,6 +9,7 @@ import json
 import os
 import time
 import uuid
+from datetime import datetime, timezone
 from urllib.parse import parse_qs, urlparse
 
 import httpx
@@ -304,7 +305,8 @@ def test_an_install_that_couldnt_reach_home_assistant_is_asked_for_again(app):
         await _clean(app)
         await sched.poll(app, transport=ha.transport)
         await upd.start_update(app, ADDON, "someone", transport=ha.transport)
-        ha.backup_lands()
+        # Now, as the install's deadline counts from the backup while it is unsent.
+        ha.entities["sensor.backup_last_successful_automatic_backup"]["state"] = datetime.now(timezone.utc).isoformat()
         await upd.advance(app, transport=ha.transport)
         ha.down = True
         await upd.advance(app, transport=ha.transport)
diff --git a/tests/integration/test_invites.py b/tests/integration/test_invites.py
index 11d908b..541c584 100644
--- a/tests/integration/test_invites.py
+++ b/tests/integration/test_invites.py
@@ -82,7 +82,7 @@ def test_an_invite_is_emailed_and_the_invitee_makes_their_own_account_once(app,
         assert resp.status_code == 302 and resp.headers["Location"].endswith("?done=invited")
         assert len(sent) == 1 and sent[0]["To"] == to
         text = sent[0].get_body(("plain",)).get_content()
-        assert f"{aname} invited you to Steward" in text and "EDT" in text and "UTC" in text
+        assert f"{aname} invited you to Steward" in text and re.search(r"\bE[DS]T\b", text) and "UTC" in text
         key = _KEY.search(text).group(1)
 
         page = await (await admin.get(resp.headers["Location"])).get_data(as_text=True)