diff --git a/addons/website/models/website_visitor.py b/addons/website/models/website_visitor.py
index ffb1d58c621..9ddd1649ebf 100644
--- a/addons/website/models/website_visitor.py
+++ b/addons/website/models/website_visitor.py
@@ -330,7 +330,7 @@ class WebsiteVisitor(models.Model):
         self.website_track_ids.visitor_id = target.id
         self.unlink()
 
-    def _cron_unlink_old_visitors(self):
+    def _cron_unlink_old_visitors(self, batch_size=1000, limit=None):
         """ Unlink inactive visitors (see '_inactive_visitors_domain' for
         details).
 
@@ -340,8 +340,8 @@ class WebsiteVisitor(models.Model):
         auto_commit = not getattr(threading.current_thread(), 'testing', False)
         visitor_model = self.env['website.visitor']
         for inactive_visitors_batch in split_every(
-            1000,
-            visitor_model.sudo().search(self._inactive_visitors_domain()).ids,
+            batch_size,
+            visitor_model.sudo().search(self._inactive_visitors_domain(), limit=limit).ids,
             visitor_model.browse,
         ):
             inactive_visitors_batch.unlink()