Precious Alert! New mom Jessica Simpson has debuted her month-old baby girl Maxwell Drew to the world on the cover of the new issue of PEOPLE. Look at those cheeks! We want to squeeze!

Mom and daughter look adorbs, don’t they? Of course, Simpson has outfitted Maxwell in the cutest little sundress and headband. It’s never too early to instill fashion sense. As for mom? Check out that maternal glow.

In the feature, Simpson admits that she and fiancé, ex-NFL’er Eric Johnson, can’t take their eyes of their little bundle of joy. “We stare at her all the time,” she said,. “We can’t get enough.”

Little Maxwell entered the world on May 1 and since then, the singer/ actress/ fashion icon has seen life as she knows it changed, from top to bottom. Simpson said, “Life has completely changed. From how I sleep to what I think about, Maxwell has definitely taken over everything!”

Simpson had a C-section, so she has been recovering, and admits nursing her newborn is a “full-on job.” Yep, that’s motherhood, Jess! She actually prefers to breastfeed, saying, “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.” Sounds like mother-daughter bonding is in full swing.

Maxwell has apparently inherited her mother’s eyes and her father’s calm personality. We’re going to guess she will develop mom’s fashion sense as she grows up.

Simpson is launching her maternity fashion line, which hits retails this fall.

Debut celeb baby photos are big business in Hollywood, but Simpson reportedly pocketed a paltry $800,000 for Maxwell’s image, which is a far cry from the several million Brangelina commanded for their twins.

The issue lands Friday (June 1) and will have more deets about the birth and the impending nuptials of Maxwell’s parents.