"It all depends on how long the main series runs," Martin told The Hollywood Reporter on Wednesday following the season-four premiere of the hit HBO series in New York. "Do we run for seven years? Do we run for eight? Do we run for 10? The books get bigger and bigger (in scope). It might need a feature to tie things up, something with a feature budget, like $100 million for two hours. Those dragons get real big, you know."

PHOTOS: 'Game of Thrones' Stars Invade New York for Season 4 Premiere

The best-selling author said another big-screen possibility being considered is one based on Tales of Dunk and Egg, a series of three prequel novellas Martin penned that revolve around a group of characters, including Ser Duncan the Tall, who lived in the mythical Westeros 90 years before the events depicted in his book series A Song of Ice and Fire, which serves as the basis for Game of Thrones.

"They could be the basis for [a film]," Martin added at the post-premiere bash held at the Museum of Natural History, where a suspended giant whale cast a shadow over the crowd not unlike one of Martin's dragons. "I have written these three stories, and I have about a dozen more."

Martin says the prequel characters are the direct ancestors of some of Game of Thrones' players, but he wouldn't reveal how they relate.

Warner Bros. would be the natural fit for a studio partner. Warners released the two films based on the long-running HBO series Sex and the City and is behind the upcoming big-screen adaptation of Entourage. The studio also knows how to market a dragon tale, with its The Hobbit: The Desolation of Smaug having earned nearly $1 billion worldwide.

PHOTOS: 15 New Photos From 'Game of Thrones' Season 4

The New York Philharmonic performed the show's theme song before the Lincoln Center screening of the first episode of the new season.

Screenwriter Will Reiser (50/50) was among a group of both fans and industryites waiting patiently to take a turn in a simulator that offered the virtual experience of ascending the series' famed fortified wall.

"The difference between a New York premiere and an L.A. premiere is in New York, you have the New York Philharmonic, but in L.A., we'd have Kanye and Kim singing the theme," quipped Reiser.

Email: Tatiana.Siegel@THR.com

Twitter: @TatianaSiegel27