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 fourth-round win at Molineux.
Pulis said: “Thomas has been brilliant. We are hoping to sit down and do a deal to keep him at the football club.
“Begovic has been outstanding for us. As a young keeper, he has been outstanding.
“Thomas has been waiting patiently. He has been terrific today. That is what you want, good competition.”
Wolves boss Mick McCarthy was disappointed to exit the cup at the last-32 stage courtesy of Robert Huth’s second-half header from a Matthew Etherington free-kick.
He said: “The missed penalty (by Milijas) does not make me unhappy with the performance.
“It is indicative of our performance because it is a missed opportunity.
“Ultimately we gave away a needless free-kick and got punished by Stoke who do it better than anyone else with free-kicks, corners and throw-ins.
“We dealt with it well most of the time – but not that occasion.”
WOLVES: Hahnemann, Zubar, Stearman, Berra, Elokobi, Jarvis, Henry, Milijas, Hunt (Edwards 14), Ward (Vokes 84), Fletcher (Ebanks-Blake 75).
STOKE: Sorensen, Wilkinson (Wilson 66), Huth, Faye, Pugh, Walters, Diao (Whelan 46), Delap, Etherington, Carew, Jones (Fuller 68).
Referee: Mike Jones (Cheshire).