Simpson, 31, and her fiancé, former NFL player Eric Johnson, also reveal that their first child has inherited her famous mother's eyes and her daddy's calm demeanor. "We stare at her all the time," says the fashion mogul of Maxwell, whose first name is Johnson's middle name (Drew is Simpson's mother Tina's maiden name). "We can't get enough!" Simpson also added that recovering from her c-section has been rough and breastfeeding baby Maxwell is "a full-on job."
One big happy family: Simpson, Maxwell, and Johnson. (Tony Duran for PEOPLE)
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Despite the fact that she's nursing, her husband-to-be has also been able to bond with his daughter during feeding time — even though it's not always easy for his fiancée. Says Simpson, "It's the worst if I have to pump and give Eric a bottle to give her. I miss holding her and having that closeness."
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On May 1, the day she gave birth, the "Fashion Star" mentor and Johnson, 32, announced their big news on her website. "We are grateful for all the love, support and prayers we have received. This has been the greatest experience of our lives!"
For more inside scoop on Jessica and baby Maxwell, pick up the new issue of People magazine, on newsstands Friday.