The 29-year-old impressed at Bloomfield Road last season in scoring 13 goals as the Seasiders narrowly failed to retain their top-flight status.
He has a release clause in his contract allowing him to leave the club for £1.25million following relegation, although Blackpool are not giving up hope of keeping the forward.
However, Campbell has recently expressed his determination to play in the Premier League again next term and he has several clubs on his trail.
Fulham and Sunderland have already been linked with bids for the former Birmingham man, and now Stoke have entered the chase.
Potters boss Tony Pulis is looking to improve his squad over the summer and is weighing up a move to bring Campbell to the Britannia Stadium.