Speaking about potential future Last Shadow Puppets material Kane told Digital Spy that the pair "always talk" about the group but are prioritising a film.
"It's something we always talk about y'know? But I think we're gonna write this film first anyway before we hit back into that," Kane revealed.
"It's gonna have a sort of X-Men kind of vibe and sort of set in the '60s, but I can't give anymore away than that."
The 'Rearrange' singer added that neither of the pair would have major acting roles in the film, although they could feature in production in some form.
"We're not planning to be [in the film] but we may have a little cameo."
Kane and Turner released The Age of the Understatement under the alias of The Last Shadow Puppets back in 2008, as a side project to Turner's Arctic Monkey's and Kane's now-separated band The Rascals.
Turner has often been joined on stage by Kane during live shows. Most recently the pair performed Last Shadow Puppets track 'Standing Next To Me' during Arctic Monkeys' encore at Finsbury Park in May.
The Arctic Monkeys' frontman wrote and performed the soundtrack to 2008 Richard Ayoade-directed film Submarine.
Kane's second album Don't Forget Who You Are was released last year. He will perform at V Festival next month (August 16 to 17).
Watch the music video for 'Standing Next To Me' below: