Celebrity Parents Jessica Alba goes shopping for baby items By Staff Author Published on February 15, 2008 08:40 AM Share Tweet Pin Email The Eye’s Jessica Alba spends Valentine’s Day shopping for her and fiancé Cash Warren‘s unborn baby. The 26-year-old visited Bel Bambini on Robertson Boulevard in West Hollywood, CA, where she spent around an hour browsing for items. She and Cash expect their first child in late May/early June. They know the sex of the baby, but are not sharing. Photos by Pacific Coast News.