And he is also eager to keep Tuncay at the club despite revealing German club Wolfsburg have made a bid for the Turkey striker.
Sorensen has lost his first-team place in recent months to Asmir Begovic and has not started a Barclays Premier League game since October. But the former Denmark international proved his worth with a last-minute penalty save from Wolves midfielder Nenad Milijas to secure Stoke a 1-0 fourth-round win at Molineux.
Pulis said: "Thomas has been brilliant. We are hoping to sit down and do a deal with Thomas to keep him at the football club."
Pulis confirmed that strikers Tuncay and Ricardo Fuller have been the subject of offers.
He said: "The club have received a bid from Wolfsburg and the clubs are talking but we are keen to keep Tuncay if we can.
"Sunderland also definitely made a bid for Ricardo. Not good enough? I'm not saying that. I'm just saying Sunderland made a bid and the clubs are talking."