Dempsie argued that Foals were given a leg-up by performing on the Channel 4 drama series and said the Oxford rockers' attitude had got the cast's "backs up".
He told NME: "They may deny it, but Foals did very well out of appearing in the episode we did on MySpace last summer.
"I think they're great, but they seemed to rubbish their involvement in Skins, which got our backs up a little bit.
"They seemed to be stressing over the fact they'd never watched the show. But whatever. They're a good band and they seem to be doing really well."
Foals released there debut album Antidotes on March 24. Lead singer Yannis Philippakis recently said the group would try to avoid the limelight whenever possible.