Bosnian staying in Staffordshire...
The Blues were rumoured to be considering a move for the Bosnian-born keeper as a way of improving cover between the posts at the club, with Ross Turnbull and Henrique Hilario's pre-season form apparently concerning Carlo Ancelotti.
But Pulis is adamant that Begovic is going nowhere.
"They (Chelsea) have enquired, but they have been told he is not for sale," Pulis told the Stoke Sentinel.
"We are trying to bring players in, not let our better players go."
Stoke themselves have been linked with Nice forward Loic Remy. Pulis did not seem optimistic when asked whether the striker would be heading for the Potteries though.
"He's a very talented young player, but whether we do the deal is another thing," the Welshman said.
"It's not just Stoke interested, but three or four others."