The Dutch goalkeeper, whose contract at the Liberty Stadium runs until 2016, has been linked with the likes of Barcelona, Arsenal and Liverpool in recent weeks.
A recent family holiday to Barcelona sparked reports he was there to agree terms on a move to the Nou Camp, while quotes attributed to Vorm in the Dutch media suggested he was keen to be reunited with former Swans boss Brendan Rogers at Anfield.
Vorm, who joined Swansea from Utrecht for £1.5million in 2011, was quick to reject those reports, and he reiterated no club has made an approach to sign him.
He said: "I expect to be here next season. I have a contract until 2016 which I signed at the beginning of this season.
"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."