Gregg DeGuire/Picture Group
06/22/2009 at 01:00 AM EDT
Father's Day was twice as sweet for Matthew McConaughey
: Not only did he get to celebrate his first Father's Day with 11-month old Levi, his son with girlfriend Camila Alves, but the couple is expecting a second baby, he revealed on his Web site
"Happy Father's Day. It's my first, and the last 11 months with Levi and Camila have been the most rewarding adventure to date," McConaughey writes. "We have more blessed news to celebrate this Father's Day that [will] make this time next year double the fun. Levi is going to be a big brother... Yeah, we pulled off the greatest miracle in the world one more time, Camila and I are expecting our second child, bringing more life into the world, making more to live for. The future looks bright as the family grows.... just keep livin, Matthew and Camila."
For McConaughey, 39, fatherhood "is a wild, wonderful adventure," he told PEOPLE in May
. "It's a great new chapter in life, for sure."
Make that chapter two.