Nicole Richie and Joel Madden
02/11/2008 at 05:00 PM EST
is in love with his new baby daughter, Harlow, and she is in love with ... her mother – at least for now.
She's "definitely a mama's girl," the rocker told PEOPLE before a gig as a deejay at Prive Las Vegas on Friday. "Right now she needs mom because all she does is eat. I have a feeling that when she starts talking she's going to be a daddy's girl."
Harlow Winter Kate Madden, who was born Jan. 11
, is the first child for Madden, 28, and girlfriend
The night in Las Vegas was the Good Charlotte singer's first one away from his daughter, and the reason he agreed to deejay was because the club donated its door proceeds to the Richie-Madden Children's Foundation
, he said.
"It's really hard being away from her. I think after having Harlow we are already in love with being parents," he said. "It's cool to watch Harlow with Nicole because they already have a real special bond. It's cute. I have my own little bond with her too."
As far as Madden's bond with Richie, that's stronger than ever too. "She's a wonderful mother and she looks really hot already," he said. "The girl is gifted, man. Women hate her because she looks good being pregnant and then has the baby and looks sexy. There's something so attractive about her now. It's a motherly glow."