The Swans goalkeeper reportedly told Dutch magazine Voetbal International that it would be "special" to be reunited with Liverpool boss Brendan Rodgers, the man who snapped him up for just £1.5m from Utrecht two years ago.
And while the Dutch international has been linked with a move to Anfield, as well as Arsenal and Barcelona, he claimed his comments on Rodgers had been misinterpreted.
Speaking to the club's official website, Vorm said: "The comments that came out of the interview from the Dutch press have been lost in translation.
"They asked me about Brendan, and I said I enjoyed working under him. Of course I did, he was the man that brought me here and we had a successful season.
"But I did not say I wanted to go to Liverpool or anywhere else - I am very happy here at Swansea. Not once have I told my agent or the chairman Huw Jenkins that I want to leave here."
Vorm also played down suggestions linking him with a move to Barcelona, he said: "The Barcelona story was a shock to me.
"It's quite funny when I think about it, because I had a couple of days free so I wanted to fly somewhere close and sunny, so my family went to Barcelona.
"I had a great time with my wife and my two kids. We went to Barcelona Zoo, but I can tell you we were not buying souvenirs at the Camp Nou."
And the Dutchman made it clear where he has pledged his future.
"This season has been incredible for us," added Vorm. "We are doing so well in the league and, of course, we won the Capital One Cup which means we are playing in Europe next season.
"I've played European football before and it will be great for everyone at this club - the players, staff, directors, supporters and also the city of Swansea.
"Everyone is looking forward to being a part of that adventure - myself included - but first of all we must ensure that we finish this season strongly."