Matt Damon (left) and Jake Gyllenhaal
Michael Loccisano/Getty; Pacific Coast News
Freshly bald Matt Damon
loves his new look. What he doesn't love is having his shaved head compared to Jake Gyllenhaal
"Wow, I try not to envy, but I have to say Jake's got a damn good-looking head," Damon, 40, told PEOPLE at Wednesday's New York premiere of his new movie about a killer virus, Contagion
. "He sure does have a beautiful round head."
"Normally you say, 'That's a beautiful head of hair, but that's a beautiful head he's got,' " Damon says laughing. "Gyllenhaal definitely gets the blue ribbon for the best bald head over me."
Sporting a completely sheared dome for his next movie, the sci-fi thriller Elysium
, Damon is enjoying the perks of a hair-free existence.
"It's really liberating," says PEOPLE's 2007 Sexiest Man Alive
. "I get out of the shower and just run the towel over my head and I'm done. But the only problem for me was during the summer time. I had to remember to put on sunscreen. I'm not used to that. A friend of mine who is bald told me you only make that mistake once. He was right about that."
Fortunately, Damon's wife of nearly 6-years
, Luciana, 35, likes the bald look and still finds him sexy and handsome.
"Thank God she does," Damon says, "but you know she had to take a whole vow, for better or for worse, so she's kind of stuck with me!"