Scott Disick Cuddles Up with His Adorable New Puppy: 'Hello Little Dog'

family is growing!

The reality TV star — who shares , with ex-girlfriend — has introduced an adorable little puppy to his young family.

The star, 40, posted some sweet snaps of the on this week. The first pick, shared Wednesday, showed the little dog — which looks like a Labrador Retriever — being held up to the camera alongside the caption, “I got P [Penelope] a pup and I think I love her.”

The next image, shared two days later, was captioned “Hello little dog,” and showed the sleepy looking pet sitting on a couch behind Scott’s head.

Never miss a story — sign up for to stay up-to-date on the best of what PEOPLE has to offer, from juicy celebrity news to compelling human interest stories.

Besides taking care of her new pet, Penelope has also been giving her famous father a hard time about his romantic life. On a recent episode of which aired earlier this month, and talked to Scott about what he's looking for in his next relationship. And Penelope offered her own thoughts on the matter, too. 

"Older," she declared, “You're forty. You're not going to date someone 19," Penelope said.

"I would but it's not a good look," Scott replied.

As for other traits, the tween said her dad needs someone with a "good personality."

"She can be pretty. Someone who goes to the gym, because you need to go to the gym also," she added. "I want you to have a girlfriend."

Earlier in the conversation, Scott admitted he hadn't been trying much when it comes to meeting someone new.

"I've been too focused on the kids and me," he told the group, admitting that he does get lonely.

"I need somebody who doesn't give up on somebody because I have been through a lot of different things. I definitely know I'm not easy and I'm not perfect."

Scott dated Penelope’s mom on-and-off for nine years before they split for good in 2015. Kardashian is now with her husband, drummer

Since Scott has dated a few other well-known names, including models and . He was also been linked to Scottish model Rebecca Donaldson and actress

news flash