West Brom – Albion have rejected an £18m bid from Manchester City for the defender, 29, who has two years left on his contract.Pulis said: “It would be crazy to say West Brom won’t sell if a huge amount of money is put in front of you.
“It’d need to be a good offer. We’re not desperate for money. Jonny’s one of our best and we’d love him to stay.”
The Northern Ireland centre-back missed West Brom’s opening game of the season against Bournemouth with a hamstring injury and he remains a doubt for the Premier League game at Burnley on Saturday.
Pulis said: “He will have a late fitness test today [Friday]. One thing we don’t want to do is play him and then it gets worse and then we lose him.”
City manager Pep Guardiola said in July that he was still hoping to sign another central defender before the transfer window closed.
Evans, who spent nine years at Manchester United, was the subject of a bid from Arsenal last summer while Leicester have also had a £10m offer for the defender turned down during the close season.
Pulis said: “When it’s Man City or one of the top four or five clubs, it’s very, very difficult then because it affects the player because they have the chance to better themselves.
“We don’t want to stop him from doing something he wants to do. We don’t want to have a player that stays at the football club and is disappointed.
“He’s been in this position before here and he understands the situation, until all parties agree then he won’t go anywhere.
“He has been made club captain and he wants to get on with his football.”
The Baggies won their opening match of the Premier League season against Bournemouth, but Pulis warned that without additions to his squad, “it could be a long season”.
Pulis has signed four players so far this summer, including Jay Rodriguez from Southampton for £15m.
He confirmed that West Brom are interested in signing Tottenham defender Kevin Wimmer although he said that reports of an agreement being close were wide of the mark.
“We’ve got a lot of irons in the fire and we hope to get deals done and they have to be right for the football club,” he added.