"It just seemed to be the right gift," he said, later adding, "That will never see the light of day. Maybe under lock and key."
Perry, who welcomed her baby girl in August with her fiancé Orlando Bloom, also talked about the gifts she received from Bryan and their fellow judge Lionel Richie during a February episode of Jimmy Kimmel Live!.
"Lionel and Luke gave very Lionel and Luke gifts," the "Firework" singer explained. "Lionel gave her a nice robe and then a bottle of champagne for mom and dad, and then Luke gave her a pink tractor and a Daisy BB gun. Look, us judges, we stay true to who we are."
"There's, like, a little inscription and everything," Perry told Jimmy Kimmel. "She's very sweet."
During the interview, the "Roar" artist shared how she and the Pirates of the Caribbean actor came up with their little one's name.
"Daisy, to me, means pure, like, purity and Dove means peace and Bloom kind of feels like it means joy," Perry explained. "So, it's like very pure, peace and joy."
And it looks like she's loving life as a new mom, too. As Perry told Kimmel, "It's the best decision I've ever made in my entire life."