The Dutch keeper's contract at the Liberty Stadium runs until the summer of 2016 but that has not stopped him being linked with Barcelona, Liverpool and Arsenal in recent weeks.
A recent family holiday in Barcelona and comments attributed to Vorm that he would like to work with Brendan Rodgers again sparked further rumours, but he reiterated that no offers had been sent in his direction and that he expects to be with Swansea after the summer transfer window.
"I expect to be here next season. I have a contract until 2016 which I signed at the beginning of this season," Vorm said. "Obviously you never know what can happen in football but I see myself playing here next season.
"Talk of me joining other clubs is something that has been put together by the media. No one has ever been to (Swansea chairman) Huw Jenkins or to my agent saying they want to sign Michel Vorm for next season.
"It is all speculation, but in some ways it is positive because it means people look at you as someone who is doing well."
Vorm hopes Swansea will rediscover their form against Manchester City on Saturday as they look to secure their place in the top 10 at the end of the Premier League season.
He added: "We have played against good opponents, including three sides in the top five, but it's hard to put your finger on why results have not gone our way, we haven't been playing that badly.
"We have been unlucky in the final third, we have created opportunities and we have not taken them. Against the top teams when they create chances most of the time they take them, and if you don't take yours you lose the game.
"It also makes it hard for the defence to always have to try and keep a clean sheet. When we played Tottenham, they had two chances and took them, and we missed some we would normally score. It shows the quality the top teams have and what we need to improve on."