Sorensen is on the lookout for more first-team football having found his opportunities limited behind Asmir Begovic at Stoke.
Manchester City were interested in signing him as back-up for Hart and, although that move did not materialise, Sorensen could yet leave Stoke if a club is willing to offer him regular action.
The 35-year-old told Sky Sports News of the Citizens' interest in him: "If a big club is interested, of that size, you can't really look the other way.
"There was negotiations there, but they didn't turn out to anything and I move on.
"When you get to my age, you realise that you will have to end at some point, and that makes it all the more important to keep playing - especially when you have got the motivation and the level as well.
"For me it is important to play, as it has been ever since I started. I have got a year contract there (Stoke), so that's the situation at the moment."
Source: Team Talk
Source: Team Talk