The actress picked up the pet earlier this week (beg29Jan12) and she's already lost her heart to him.
Cooing over a paparazzi picture of the pup during a taped interview with TV host Ellen DeGeneres, which will air in the U.S. on Wednesday (01Feb12), the Charlie's Angels star says, "He looks like a bear. He looks like a tiny little bear. I can't even handle it.
"He was a rescue dog. He was found in a box with his brothers and sisters outside of East Valley Shelter (in Los Angeles). And, this place on Fairfax (Avenue), (called) Barks and Bitches... they help foster the dogs and try to get them loving homes.
"So I think Ollie, hopefully, has hit the jackpot."
The pup was fostered by Twilight star Nikki Reed before Barrymore agreed to give him a permanent home.