"Much as I enjoyed the first two movies, I didn't feel that they'd yet made the version I wanted to see."
Given that Cruise is the film's producer as well as its star, one suspects it's ultimately more the version that Tom wanted to see.
But Abrams is adamant it was he who had creative control.
"Tom said: 'I am your actor. It's your Mission: Impossible. Do your thing. That's why we want you.'
"Which was terrific, as I'm sure everyone on set looked at me and thought: 'OK, TV boy, do you know where to put the really big cameras?'"
Fans of his small-screen fare may struggle to find Abrams's trademark quirkiness in a blockbuster movie scenario that sees Ethan Hunt (Cruise) juggle marital bliss with the demands of brutal baddie Philip Seymour Hoffman - even if the action is balanced by "emotion".
"I thought, hey, you can't out-style De Palma or Woo, so don't even try. Concentrate on story not aesthetics.
"Blowing up stuff is tedious. And action's irrelevant if you don't have characters and a story you care about."
Despite this big-screen foray, TV is clearly still close to his heart.
His eyes light up when I mention Simon Pegg, Tom Cruise's nerd sidekick in the film.
Did Abrams know who Pegg was? "Ohmygod, are you kidding?" he enthuses.
"Spaced? Shaun Of The Dead? I'm a huge fan. I changed the entire schedule just to get him."
Alongside Abrams's other dream projects, such as producing the new Star Trek movie, it appears Lost is safe for another series.
So that just leaves one final question: do they get rescued?
"I can't believe you even asked me that," Abrams chuckles. "You'll just have to watch."
Mission: Impossible III is released on Thursday. The second series of Lost begins tonight on Channel 4.