Mom-to-be Minnie Driver is shooting down reports that San Francisco musician Craig Zolezzi is the father of her baby.

"Craig's not the dad!" she told U.K.'s Independent newspaper on Thursday. "He's my great friend, and he's been so cool about it."

The Brit, 38, wouldn't reveal the father's identity, but hinted he's English and "sort of in the same business ... he's really busy, like me."

Why so secretive?

"I want to shield the baby's dad as much as I can because it wasn't his choice to get roped into all this stuff," said Driver, who noted the pregnancy was "unplanned" but "very happily received."

His name will "come out in time and there'll be some other bump people will be interested in, and I'll have this baby and get on with my life."

Asked if they'd wed, she replied, "Definitely not in the near future.

"It's not important to me," she went on. "I don't think a piece of paper lends itself to the idea of being a good parent."

She said she is uncertain if she'll have her baby in the U.S. or England. "A big part of me wants my child to be English," she said. "My family are here, and I'm sure I'll move back here one day. It's just that my work, and the opportunities I've had, have been so varied and wonderful in the States that I've just followed my nose really."