Sunday's amazing 1-0 win over Manchester City moved the Swans on to 36 points and athough they are still short of the magical 40, Vorm says they should be looking at the top half.
The aim at the start of the season was nothing more than survival but with 10 games to go, five of which are at fortress Liberty Stadium, Vorm is setting his sights high.
"Our main goal at the start of the season was to remain in the Premier League," Vorm told walesonline. "But we already have 36 points and with 10 matches to go, including five games at home, we have the quality to go even higher.
"So if we can make the top 10 it would be a fantastic achievement. The aim was always to remain in the division but we know it is not going to be a problem.
"Maybe we can change our goal and see where it ends. I think the top 10 is reasonable - why not?"