The acclaimed Moon director is in the running to direct the biopic, based on Andrew Lycett's biography The Man Behind James Bond, according to Internet reports.
Casting officially is underway as studio bosses hunt for the man who will play the celebrated novelist.
Fleming's life was last turned into a movie back in 1990 when James Bond star Sean Connery's son Jason took on the role of the suave writer in The Secret Life of Ian Fleming.
Charles Dance also played Fleming in fact-based biopic Goldeneye in 1989. That film focused on the author's wartime exploits and romantic adventures, which ultimately led to his creation of 007.
Deadline.com reports the new Bond biopic will start shooting later this year (12) - as fans of the film franchise celebrate the 50th anniversary of the release of Dr. No, the first official James Bond movie.