The Fever Pitch actress, who became engaged to boyfriend Will Kopelman in December, described the ring as a bit too "fancy".
"It's beautiful," Barrymore told Anderson Cooper on Anderson. "[Kopelman] picked it out and he's just got lovely taste, and it's really fancy.
"I'm sort of like a funky, eclectic girl so I feel like this is very fancy and I'm trying to like, you know, feel comfortable with it."
Barrymore went on to insist that her wedding will be low-key.
"The worst thing you can do is like stress about things, and I totally fall prey to stress and lose my own advice every once in a while," she said. "We'll just have a wedding, we'll get married, it will be very calm."
The couple recently adopted an 8-week-old pet shepherd mix together.
Watch a preview of Drew Barrymore on Anderson below: