Following their previous collaborations on Se7en, Fight Club and The Curious Case Of Benjamin Button, the close friends could be reuniting for the fourth time on the upcoming remake of the classic Jules Verne novel.
The director has wanted to get his leading man, and Brad told MTV.com: "I'd love to, I mean, he's my man. He's got a great take on it. That's just gonna be about schedule and time allocation, but he's my man."
Brad is being tipped to play the role of harpoonist Ned Lands, previously played by Kirk Douglas in the 1954 adaptation.
David has said that the big-budget version of 20,000 Leagues Under The Sea, written by Seven writer Andrew Kevin Walker, for Disney will be shot in 3D.
Brad - who was in New York for a screening of gangster flick Killing Them Softly - is finishing up re-shoots on zombie thriller World War Z in the UK.