Speaking on Stoke's pre-season tour last week, boss Mark Hughes said: "We've invested a lot of money in G. If a club comes and a bid is on the table that we think makes sense to us then we would consider it but at the moment no-one has come up with anything that is attractive to us".
Fabian Delph is close to securing a move to Stoke City.
Delph broke on the scene at Leeds United, making his debut for the club in 2007 at the age of just 18.
A string of injuries has curtailed his promising career in recent seasons, making just 24 appearances for City in two years.
On the other hand, the Potters are in desperate need of quality in the middle of the park.
Giannelli Imbula has also been linked with a departure from the Bet365 Stadium, leaving Joe Allen, Charlie Adam and new man Darren Fletcher as the only viable options in midfield.
Stoke are also closing in on the loan signing of powerful French centre-back Kurt Zouma from Chelsea, as the Potters look to strengthen in time for the start of the new season next month.