diff --git a/swh/storage/replay.py b/swh/storage/replay.py
--- a/swh/storage/replay.py
+++ b/swh/storage/replay.py
@@ -124,7 +124,7 @@
             visits.append(visit)
             origins.append(Origin(url=visit.origin))
         storage.origin_add(origins)
-        storage.origin_visit_upsert(visits)
+        storage.origin_visit_add(visits)
     elif object_type in ("directory", "revision", "release", "snapshot", "origin",):
         method = getattr(storage, object_type + "_add")
         method(object_converter_fn[object_type](o) for o in objects)