Swansea lie in ninth spot, but Dutch goalkeeper Vorm believes his team-mates can achieve the goal of recording a top-half position and end the successful campaign on a major high.
"It's just down to us and the fans to make the best of the rest of the season, even though we've got our hands on our first major trophy and a place in Europe," said Vorm.
"We have 37 points so far, but there are still 33 left to play for. We have to stay in the top 10 and look to do better than last season. That's a good aim to have."