The striker, who joined the club in 2010, was reportedly the subject of a £3 million bid from Swansea, but the manager insists that he will keep all negotiations private
With the two sides meeting at the Liberty Stadium on Saturday, Pulis was reluctant to speak on the matter, stating that he would only talk about it after they have decided what to do.
"If there is going to be anything done with another football club, we will do our business with the football club," Pulis told reporters.
"If we sell Kenwyne, then I will speak to you about it. If we don't sell Kenwyne, then I will speak to you about it, and then you can ask me why we did one or the other."
The striker joined Stoke for a club-record fee of £8m in 2010, and has found form recently after coming into the team following Peter Crouch's facial injury.
The striker has scored four goals in all competitions since December, including one against Crystal Palace in their FA Cup third round replay, and Pulis admits it will be "a big decision" for him whether to start Jones against Swansea.
"It will be a big decision, and that is not because of whether he is going to Swansea or not - it is just about whether or not I think it is right to start him," he added.
"He did brilliantly the other night when he came on, a bit like Cameron [Jerome, who also grabbed a goal].
"He really changed it for us and sometimes it is really nice to have those people on the bench."