West Brom and Newcastle are both keen on the Celtic striker and his brilliant free kicks against England may strengthen their interest.
Griffiths scored his first goals for Scotland with the spectacular late double which has made him a national hero.
But West Brom and Newcastle are both watching developments closely as they look to strengthen their squad.
Griffiths has scored 64 goals in 95 league games but Celtic might have a problem as their system only uses one striker and they also have Moussa Dembele.
Celtic might be tempted into selling Griffiths for around £6m this summer if either come in for the striker.