Benicio del Toro, Kimberly Stewart Expecting a Baby

Benicio del Toro and Kimberly Stewart

Graham/Boot/Allstar/Globe; Mike Marsland/WireImage

updated 04/11/2011 AT 1:00 PM ET

originally published 04/11/2011 AT 1:55 PM ET

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.

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