Baby’s day out!

Kimberly Stewart and Benicio del Toro were spotted leaving a friend’s home Saturday with daughter Delilah, who celebrated her first birthday Tuesday — the same day Mom turned 33.

The night prior, Stewart and del Toro, 45, along with her father Rod Stewart, stepmother Penny Lancaster Stewart and brother Sean commemorated the occasion at Bootsy Bellows in West Hollywood, Calif.

“Kimberly is pregnant. Benicio is the father and is very supportive,” the Oscar-winning actor’s rep confirmed to PEOPLE upon the announcement of the pregnancy in April 2011.

“Although they are not a couple, they are looking forward to the arrival of the baby.”

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