Wolves signed off from Molineux for the season with defeat to Crystal Palace.
The support has been phenomenal this season it's really pushed us on since the start of the season," Kilman told the Wolves website.
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At the start of the season we were in a tough moment, they've kept with us and they deserve everything as much as us. We just need to keep going for them."
On playing every minute in the Premier League this term, Kilman said: I just want to give my everything for this club. Since I've come here, that's been my goal, to give 110 per cent in training every day and in games. So, I just want to carry on doing my best.
We need to build and improve next season because the goal is to keep getting better as a team and make sure finish as high as we can."