06/30/2010 AT 04:30 PM EDT
never fancied herself a dog person. But after finding puppy love with Rocky
, a boxer she got with ex-boyfriend Reggie Bush,
her perspective changed. And now, she even finds her pooch emulating her ways.
When asked which celebrity her dog is like, Kardashian said, "Rocky is most like me, his mommy. He's really cool and calm, and goes with the flow."
And it's a good thing: Lately, the pup has been spending time with sister Kourtney's son, 6-month-old Mason Disick
"Mason hasn't really been around dogs that much," the reality star told PEOPLE Friday at a West Hollywood party for the relaunch of her Web site, KimKardashian.com.
"My mom has three and Kourtney keeps them away. But yesterday I wanted to really introduce them."
How'd it go? "Rocky was licking Mason in the face, and Kourtney was mad at me," Kardashian said. "I was like, 'No, they need to meet!' It was really funny. And Rocky did calm down after a little bit."
With reporting by MoMo ZhouCan't get enough celebrity pet news? See more on PEOPLEPets.com:
Jada Pinkett Smith: I Rescued a Street Dog from Beijing
Ashley Greene: Dog Marlo Is My 'Constant'
Nick Cannon: New Puppy's Name Inspired by 'Sopranos'!