The 28-year-old has enjoyed a productive first season in the Premier League, with reports suggesting that he could depart the club in the summer.
However, Vorm has moved to dispel the rumours, claiming that "it was a dream come true" to sign for the Welsh club.
"You never know but I don't really think that I'm going to leave the club in the summer. My family loves it here. I cannot imagine that I'll leave the club after one season especially after the way we've performed," Vorm told Sky Sports News.
"You never know what happens of course but I'm very happy here. For me it was a dream come true signing for Swansea to play in the Premier League.
"For me it was very easy to fit in. The style suits me. Brendan Rodgers for me is easy to work with. He's very clear the way he sees things. We've played some great matches, especially at home. The whole season through has been fantastic."
Swansea currently sit 12th in the Premier League table.