Jessica Simpson Shares New Maxwell Photo

By Dahvi Shira

UPDATED 06/27/2012 at 06:00 AM EDT • Originally published 06/26/2012 at 06:50 PM EDT

Jessica Simpson is clearly (and rightfully!) smitten with her 8-week-old baby girl, Maxwell Drew.

The new mom, 31, took to cyberspace Tuesday with a new look at her daughter with fiancé Eric Johnson.

"Howdy friends," the Fashion Star judge wrote, accompanying a photo of her pouty-faced little one, clad in red and white stripes.

PHOTOS: Famous Maxwells in History

About a week after the May 1 birth of Simpson's pride and joy, she Tweeted, "I am so in love with baby Maxwell. I want to cry every time I look at her. Motherhood is by far the best thing I've ever experienced."

Since welcoming her new addition, "life has completely changed," Simpson told PEOPLE last month. "From how I sleep to what I think about, Maxwell has definitely taken over everything!"