The band played a rendition of the Peckham singer's debut track for Radio 1's Live Lounge, where they announced that they will release a brand new single in the coming weeks.
Listen to their cover of 'On A Mission' below:
Discussing their new material, Alex Turner said: "I don't think it'll quite be an EP. We're about to go and tour with The Black Keys and we're going to put out a new tune before we go and do that."
Turner also revealed that the group will not be playing any European festivals in 2012, adding: "We're not doing any, I don't think."
The group's manager Ian McAndrew recently insisted that they are happy on a small record label, and have no plans to move to Sony or EMI when their current contract expires this year.
Watch the music video for Arctic Monkeys' latest single 'Black Treacle' below: