's brother Rooster says his little bro is one lucky fella: "It's good to have a boy the first time 'round!"
He adds jokingly: "You can get away with dropping 'em a couple times, and they'll still be okay. Can't really do that with a little girl."
For now the newest addition to the McConaughey clan – who the actor's rep confirms is named Levi Alves McConaughey – is resting under the watchful eye of his parents. The baby boy, born July 7
at 6:22 p.m. in Los Angeles, is the first for both McConaughey, 38, and his girlfriend Camila Alves, 25, a model and designer of the handbag line Muxo.
"He's probably a bit tired right now, probably been sitting around that hospital just staring at the little guy," Rooster tells PEOPLE. Rooster, 54, is the father of two, including 2-year-old Miller Lyte (yes, as in the beer).
"The other day I told him, 'Don't worry if other people want to hold him for that first year. That's okay.' Our dad always used to say that," Rooster says. "Hell, you wanna wait until their neck muscles get stronger anyway. That's when the fun starts. I like 'em when they get a bit tougher. I told him, they don't really get fun until they're about a year old anyway."
Roughhousing aside, Rooster says he's certain his little brother will be a good father.
"That guy is going to make one helluva a dad," he says.