Fiverr could add a notification option for sellers that could tell them when new buyer requests are available on the buyer requests page.There could be different options like how to notify you (whether on the site and/or via email) and the notification frequency. Maybe it could also allow the option to only notify you if the number of new requests were over a certain amount. It could also give the option to list the new requests.
This would especially help unleveled sellers so they wouldn’t need to look at the buyer request page as often. It would be especially helpful if the notification was quick enough so that the requests were still there when you go to the BR page