Stoke lost 3-1 to Swansea on Saturday, and striker Jones was dropped to the bench after being subject to a bid from the South Wales side.
Speaking after the game, Pulis insisted that Stoke were not under any financial pressure to sell players, but if a deal was right for the club then Jones may be sold during the transfer window.
"If an offer comes in for any player in the Premier League and it's the right offer then you look at it and then speak to the player," Pulis said.
"There is an offer there and it's around about what the club would expect, but I've said to the player if you don't want to leave mate, then you can stay, and he wants to stay.
"This is the position [with Kenwyne]. We are in no financial trouble at this football club. We run the club soundly and I'm honest with the players.
"If it comes to a point where we accept an offer from Swansea then it will be down to Kenwyne whether he wants to go on that.
"Because if he says no, there will be no problems with me."
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