That has opened the door for Mark Hughes to swoop in with a bid although he too is though reportedly keen on a loan deal.
Gala are holding out for around £5 million and a permanent transfer as they must meet strict Financial Fair Play regulations.
Financial Fair Play forcing Gala sale
As well as the up front fee, The Lions would free up over £7million in wages and contract fees over the next three seasons if the experienced forward is off the books.
Stoke's late interest ahead of Monday's 11pm deadline has been reflected in the betting too with Ladbrokes stating they are now favourites to land the goal machine.
While there are suggestions that Yilmaz is not the force he once way, the striker still has an outstanding record of 81 goals in his last 140 games for Gala.
Emenike deal dragging its heels
He has helped his side win two league titles since joining in 2012 and even helped them reach the 2013 Champions League quarter-finals.
But the deal is dragging its heels with no official announcement forthcoming yet despite the African striker being in London since Thursday.
Hammers boss Slaven Bilic knows all about both players for his time with Besiktas in the Turkish top flight before returning to East London as manager in the summer.