diff --git a/swh/storage/pytest_plugin.py b/swh/storage/pytest_plugin.py
--- a/swh/storage/pytest_plugin.py
+++ b/swh/storage/pytest_plugin.py
@@ -87,7 +87,7 @@
     return postgresql_factory
 
 
-swh_storage_postgresql = postgresql_fact("postgresql_proc")
+swh_storage_postgresql = postgresql_fact("postgresql_proc", db_name="storage")
 
 
 # This version of the DatabaseJanitor implement a different setup/teardown