The striker has played 27 times this campaign though mostly as a substitute. He drew the ire of former boss Neil Lennon last summer after turning up for pre-season training following the first lockdown out of shape. With a large clear-out expected at Celtic Park this summer the Glasgow club could look to move on from their controversial hitman.
Aberdeen are said to be waiting in the wings as new boss Stephen Glass is reportedly keen on adding the Scottish international, though Hibs are expected to monitor the situation closely.
Griffiths was a huge success in his first spell with his boyhood favourites, netting 39 goals in 78 appearances and helping the club reach two Scottish Cup finals.