updated 02/23/2012 AT 4:00 PM ET
•originally published 02/23/2012 AT 4:20 PM ET
Jennifer Aniston is showing off baby photos!
The Wanderlust star, who recently adopted a pit bull mix puppy with boyfriend Justin Theroux, shared a few adorable photos of the dog, named Sophie, during a Thursday appearance on The Ellen DeGeneres Show.
The pics of the adorable black-and-white pooch drew awww’s from DeGeneres, the audience – and Aniston herself! “Oh, look at her, she’s so sweet!” she said.
Sophie’s looks are often deceiving, as the young pup is still working on her behavioral skills. “What hasn’t she eaten, seriously,” Aniston said. “They’re nothing but trouble. They seem like they’re little mini Cujos, but then they go [cute] like that.”
DeGeneres then continued her tradition of giving her guests a gift to take home. Aniston received two pairs of Ellen briefs, as well as a new outfit for Sophie.
“I want you to bring Sophie out [on walks],” DeGeneres said, “so we got you a little disguise.” In addition to a fake leather biker jacket, DeGeneres presented Aniston with a mask for Sophie. “Put this on, and they’ll think it’s a cat. They won’t recognize Sophie.”
Aniston had other plans for the disguise. “I could wear it! And no one would recognize me!”
[RELATED_TEXT “Can’t get enough pet news? See more on PEOPLE Pets