Strict father Jerry O'Connell

Jerry O'Connell says his unborn twin daughters can't have sex until he dies. 08/03/2008 - Jerry O'Connell - 2008 Teen Choice Awards - Arrivals - Gibson Amphitheater - Universal City, CA. USA © Albert L. Ortega / PR Photos

08/03/2008 - Jerry O'Connell - 2008 Teen Choice Awards - Arrivals - Gibson Amphitheater - Universal City, CA. USA © Albert L. Ortega / PR PhotosThe 'Jerry Maguire' actor, whose wife Rebecca Romijn is five months pregnant, will be a strict father when his daughters decide they want to date.He joked: "They are only having sex when I die. If they don't date boys at all, and just want to be infatuated with their father, that is what I am really going for."The 34-year-old star - who wed 'Ugly Betty' actress Rebecca in an intimate Los Angeles ceremony last year - also revealed he thought about naming his kids after famous Hollywood twins Mary-Kate and Ashley Olsen.Jerry said: "We were joking about calling them Mary-Kate and Ashley. I'm not kidding. I really thought about that."We also thought about maybe rhyming their names. But then, is that a little Hansel and Gretel?"Earlier this week, 34-year-old Rebecca revealed she wanted to call one of her daughters Dolly, in tribute to country music legend Dolly Parton.Jerry, who says Rebecca's pregnant stomach is growing rapidly, can't wait to meet his daughters and be surrounded by women at home.He added to US TV show 'Entertainment Tonight': "I'm really excited about having girls. I know guys are supposed to say, 'I want a boy', but I just have a feeling I'm going to be good with girls."I'm just going to raise a couple of assassins. They're going to be tough chicks!"