The Daily Telegraph reported Saturday the producer of "Pulp Fiction" said he "bumped into" Brosnan and they talked about the prospect.
"I don't know if they're going to go for it or not, but I'm letting them know I'm interested," Tatantino said on the NBC's "The Tonight Show with Jay Leno."
"Let's just this one year go my way and do it a little differently," he said. "I won't do anything to ruin the series."
The next Bond film is scheduled for release in November next year.
The only film of "Casino Royale," Ian Fleming's first book, was made in 1967 as a farce with David Niven as an aging Sir James Bond.