diff --git a/swh/web/common/service.py b/swh/web/common/service.py
--- a/swh/web/common/service.py
+++ b/swh/web/common/service.py
@@ -901,7 +901,7 @@
     origin_url: str,
     require_snapshot: bool = False,
     type: Optional[str] = None,
-    allowed_statuses: Optional[Iterable[str]] = None,
+    allowed_statuses: Optional[List[str]] = None,
 ) -> Optional[OriginVisitInfo]:
     """Return the origin's latest visit
 
@@ -1028,7 +1028,7 @@
 
 
 def lookup_latest_origin_snapshot(
-    origin: str, allowed_statuses: Iterable[str] = None
+    origin: str, allowed_statuses: List[str] = None
 ) -> Optional[Dict[str, Any]]:
     """Return information about the latest snapshot of an origin.
 
diff --git a/swh/web/tests/conftest.py b/swh/web/tests/conftest.py
--- a/swh/web/tests/conftest.py
+++ b/swh/web/tests/conftest.py
@@ -9,7 +9,7 @@
 import sys
 
 from subprocess import run, PIPE
-from typing import Optional, Iterable
+from typing import List, Optional
 
 import pytest
 
@@ -251,7 +251,7 @@
         self,
         origin_url,
         type: Optional[str] = None,
-        allowed_statuses: Optional[Iterable[str]] = None,
+        allowed_statuses: Optional[List[str]] = None,
         require_snapshot: bool = False,
     ):
         visit_and_status = origin_get_latest_visit_status(