Pundit Graham Hunter has told Sky Sports' Revista De La Liga that it would be 'tough' for West Ham to tempt David Moyes away from Real Sociedad.
The Hammers have won just twice in 2015, and that has piled pressure on manager Sam Allardyce, with fans keen to see a change in the dugout.
With Allardyce's contract set to expire this summer, West Ham look set to move on from Allardyce and pursue a big-name manager to help push the club up towards the European qualification spots.
The likes of Slaven Bilic and Rafael Benitez have been linked with replacing Allardyce by the London Evening Standard, but the most popular name has been David Moyes.
The former Everton boss is currently managing in Spain with Real Sociedad, as he looks to rebuild his career following that ill-fated spell as Manchester United manager last season.
So far, Moyes has lost just six of his 25 games in charge of the La Liga club, and appears to have settled into life in Spain quickly.
However, recent reports from The Mirror have suggested that Moyes is West Ham's top target to replace Allardyce this summer - only for Sky Sports pundit Hunter to pour cold water on the speculation, saying that Moyes is unlikely to leave the club.
"If you'd asked me that question six or seven months ago, when David Moyes was beginning to find his feet (at Real Sociedad), not just at the club but in the city, away from his family, the changing culture and climate, I would have said it's feasible," said Hunter.
"But he's enjoying himself, absolutely finding that the thing he's always aspired to, working with a high-profile club on the continent, can be as rewarding and interesting as he imagined it to be. So for West Ham or anybody to drag him away will be much tougher now than it would have been a few months ago," he added.