George Clooney isn't just a great actor, he's a great son as well!

Recently, the Oscar winner adopted a rescue dog for his parents, and it seems the precious pooch is already basking in the spotlight.

WATCH: George and Amal Clooney Rescued a Shelter Dog for His Parents

"He's very famous in my mom and dad's hometown of Augusta, Kentucky," Clooney shared with ET's Carly Steel at a press junket Monday for his upcoming comedy Hail, Caesar!. "He's gone from a shelter in Cincinnati to fame -- much like I did, really."

His parents recently had to put their beloved dog, a 10-year-old terrier, to sleep, which "left a hole in their heart," and Clooney found the perfect puppy to help them heal.

"I kept saying to my dad, 'You're going to adopt another dog,' because they've always sort of found them wandering on the street. And he said, 'No, no, never again. I'm done with this.' So I knew they needed a dog and he wasn't going to take one," Clooney recalled.

WATCH: George and Amal Clooney Adopt an Adorable Basset Hound From a Shelter

"So I found this dog that was handicapped. [He was] born with a leg that kind of hangs out this way, and he's a mess!" he continued. "I called the lady up and I said, 'On Christmas Eve, can you deliver this dog to my parents' house?' Because what are [they] going to do, kick a handicapped dog out of the house?"

The dog Clooney found was named Nate, rescued from a hoarder along with 21 other dogs by LuvFurMutts Animal Rescue in Ohio. Due to his birth defects, Nate was seen by many to be unadoptable -- that is, until Clooney discovered him.

"They brought him on and now he's the love of their lives," Clooney beamed. "They love him."

WATCH: Kylie Jenner and Tyga Adopt a Puppy Reportedly Worth $50,000

Nate was the latest dog rescued by the Tomorrowland star. In October, Clooney and his wife, Amal, rescued a 4-year-old Basset hound named Millie, who joined the couple's other rescue dog, a 10-year-old Cocker Spaniel named George.

Hail, Caesar! hits theaters on Friday.

For more on Clooney's parents' new pup, check out the video below.