The project, which is based on the book 'Mr S: My Life with Frank Sinatra' by the singer's longtime valet George Jacobs, was once slated as a feature for Ratner to direct, starring Chris Tucker, but has now been re-imagined as a TV documentary, reported New York Post.
However, an HBO representative said that no deal has been made with the cable network.
The book by Jacobs and Hollywood biographer William Stadiem was published in 2003 as a behind-the-scenes look at the singer and the original Rat Pack of Dean Martin, Sammy Davis Jr and Peter Lawford.