Though not currently a couple, the pair are "looking forward to the arrival of the baby"

By Sarah Michaud
Updated April 11, 2011 01:55 PM
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Graham/Boot/Allstar/Globe; Mike Marsland/WireImage

Kimberly Stewart is expecting Benicio del Toro’s baby.

“Kimberly is pregnant. Benicio is the father and is very supportive,” his rep confirms to PEOPLE in a statement. “Although they are not a couple, they are looking forward to the arrival of the baby.”

Stewart, 31, has worked as an actress and model and is the daughter of rocker Rod Stewart, while del Toro, 44, is best known for his award-winning turns in such films as 2000’s Traffic (for which he won the Best Supporting Actor Oscar), 2003’s 21 Grams and 2008’s Che.

Reporting by JENNIFER GARCIA and JULIE JORDAN