Bradley Cooper (left) and Charlie Sheen
Eamonn McCormack/WireImage; Frank Micelotta/Getty
"Unless they have a time machine and we can go back to Bangkok, my understanding is that we have already filmed the movie," Cooper, 36, told PEOPLE at Saturday's New York press conference for another film of his, Limitless.
In a way, the Sheen rumors are understandable, given director Todd Philips's eagerness to line up unusual cameos. He originally went after Mel Gibson (that didn't work out) and then got Bill Clinton to film a scene.
But Sheen was never on the radar, says Cooper. "It's an interesting thing to start spreading," he says of the rumor. "You would have to be a part of the Starship Enterprise in order to make that happen."
Cooper also put another rumor to rest, saying he's not engaged to Renée Zellweger – despite that new gold ring on his right hand.
"It was my father's ring," said Cooper, whose dad, Charles Cooper, died in January after a long illness. "It's a little piece of him."
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