Jessica Simpson Debuts Baby Maxwell On Cover Of People

'We stare at her all the time,' Simpson tells the mag. 'We can't get enough!'

Jessica Simpson is showing off her newborn daughter, Maxwell Drew, for the first time on the cover of this week's People magazine.

"Everyone meet the prettiest lil lady in the world, Maxwell Drew Johnson," Simpson

target="_blank">tweeted Wednesday morning (May 30), linking her followers to the People story.

Simpson gave birth on May 1 via cesarean section and tells the magazine that her "life has completely changed" since she and fiancé Eric Johnson welcomed their 9-pound, 13-ounce bundle of joy.

"From how I sleep to what I think about, Maxwell has definitely taken over everything," Simpson said. "We stare at her all the time. We can't get enough!"

The singer/actress/entrepreneur, whose Jessica Simpson Collection is the most successful celebrity fashion line ever, now says that nursing her daughter is her "full-on job," though apparently it beats the alternative.

"It's the worst if I have to pump and give Eric a bottle to give her," Simpson said. "I miss holding her and having that closeness."

The magazine reports that baby Maxwell inherited her mother's eyes and the calm demeanor of Johnson, a former tight end for the San Francisco 49ers and later the New Orleans Saints who is currently a free agent. Simpson admits that recovering from surgery while caring for her new baby hasn't been easy, but she is thankful for all the support she's received.

"We are so grateful for all of the love, support and prayers," the star said. "This has been the greatest experience of our lives!"