January 28, 2008 12:00 PM

For Matthew McConaughey and Camila Alves, it’s time to rearrange the surfboards and make room for a crib. Yup, PEOPLE’s 2005 Sexiest Man Alive is about to become one cool daddy—and he couldn’t be happier. “Camila and I made a baby together … it’s three months growin’ in her womb,” the actor announced on his Web site (matthewmcconaughey.com) on Jan. 15. “We are stoked and wowed.”

Wowed also sums up his mom’s reaction when he called her at home in Texas in the middle of the night in November with the news. As Kay McConaughey tells PEOPLE, “He said, ‘Mom, are you ready?’ And I said, ‘What?’ And he said, ‘Camila and I are going to have a baby.’ And I go, ‘Oh, that’s wonderful!’ Then I said, ‘So when are y’all getting married?'”

Harsh, dude. But as Kay reminded him on the phone, “‘This is a question that 76-year-old mothers ask, Matthew.’ He knows how happy I am,” she notes. “He said, ‘You were the first person we called, and I just want you to be happy.’ And he said, ‘Mom, this is a love child.’ Isn’t that beautiful?”

Beautiful—and by all accounts, accurate. “They’re incredibly happy,” says Mark Gustawes, McConaughey’s friend and producer of his upcoming movie Surfer Dude. “The child will be raised with more love than it knows what to do with.” Since McConaughey, 38, and Alves, a model born in Rio de Janeiro who turns 25 Jan. 28, began dating a little over a year ago, the two have bonded over their passion for all things bohemian: They have held hands in Paris, surfed in the Bahamas and showered in the public facilities at the Malibu Beach RV Park, where McConaughey parked his $100,000 Airstream trailer this summer. “They have a very loving relationship,” says his mom. “I knew he wanted to be a father, and Camila is the first lady I’ve seen him with that I knew if it were ever going to happen, it would happen with her.”

And if marriage doesn’t turn out to be in the cards for her actor son (whose next movie, the comedy Fool’s Gold, is due out Feb. 8), so be it. “Out in Hollywood they get their sequence all mixed up,” says Kay. “But I have dropped the subject. He is going to be a wonderful dad. He likes to have fun. He won’t put up with whining. But it’s going to be a happy child.” And should the new parents need a hand with the diapers, they can count on MaMac. (“That’s what the grandkids call me,” she explains. “My late husband was PaMac.”) “I’ll come for as long as they want me,” she says. “I’m not planning any trips in June.”

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