Matt Damon

Matt Damon: My Daughter's a Jet-Setter

By Tim Nudd

06/09/2007 at 07:30 AM EDT

Matt Damon and wife Luciana's daughter Isabella isn't walking yet – but she sure is flying.

"We travel a lot but try to bring her everywhere," Damon, 36, told PEOPLE at the Chicago premiere of Ocean's Thirteen Thursday night.

"She has 11 stamps on her passport. She has more stamps than I did when I was 30."

(Damon's next Jason Bourne movie, The Bourne Ultimatum, which just wrapped, was filmed in Germany, Canada, New York City, England, France, Morocco, Spain and Latvia.)

Isabella, who turns 1 on Monday, is still learning to master the art of two-legged transportation: "She stands up and then realizes she's standing and down she goes," Damon said. "It's fun."

At the Ocean's premiere, Damon also revealed that he's on a mission to be named PEOPLE's Sexiest Man Alive, like his costars Brad Pitt and George Clooney, both of whom earned the title twice.

"I put on one of my finer suits," he said, modeling his dark-blue suit to the crowd. "And I have George campaigning. I'm waiting for [imprisoned political lobbyist] Jack Abramoff to rise from the ashes so he can lobby for me. Aside from that, I have to leave it up to God."

• Reporting by SHIA KAPOS