An initial contract has been tabled for Vorm to stay at the Liberty stadium until the summer of 2016, with final details still to be completed and the keeper is optimistic that both sides can agree on a deal.
"Last season I've played very well. But when a new coach arrives, you always must wait and see how he thinks about you. But he's also very enthusiastic," Vorm told Dutch newspaper De Telegraaf.
"Swansea thinks I'm important for the future and offering me a contract until the summer of 2016 says a lot.
"When my agent Wessel Weezenberg returns from his holiday the last details will be discussed. But I'm sure we'll reach an agreement."The 28-year-old loves the thrill of featuring in the Premier League as he looks to embark on his second full season in the top flight of English football.
"The Premier League is beautiful. When you play in it, it's even better," Vorm added.
"Every game is a fight and the passion at the opponents and fans are great. The stadiums are always full and during away matches we're supported by two or three thousand fans, who are singing 90 minutes long. Goosebumps.."
Despite his good club form, Vorm remains an outsider for the No. 1 spot for Netherlands, but still believes that with hard work he could find himself with more of a chance.
"The last few years I was the back-up from Maarten Stekelenburg and I did well," Vorm said.
"It's too bad that's changed now. But Louis van Gaal told me the race is not over yet. And I've got the same feeling.
"For me it's important now to play well at Swansea and Oranje."