TMZ.com reports that they are currently working out a custody agreement for their daughter, Nahla, 2.
The Oscar-winning actress, 43, and the model, 34, first met at a 2006 Versace shoot. Two years later, their daughter was born.
PHOTOS: Stars who've battled "The Oscar Curse"
Berry never seemed to mind their nine-year age difference — or the fact that they never wed.
"I feel more married now than I did in any of my actual marriages," she told the March 2009 issue of Essence. "We live the truth of that and that's more important than a piece of paper."
Interestingly, she declined to answer whether they'll be together forever. "All I know is that at this moment, it feels fantastic," she said.
Despite the uncertainty of their relationship, she told Ellen DeGeneres a short time later that she wanted more children. "My mind says yes," she said, "but the rest isn't up to me, so we'll see."
On Thursday, Berry flew solo at the DKMS' 4th Annual Gala: Linked Against Leukemia solo in NYC — but she was in good spirits.
Asked how her daughter was, she told UsMagazine.com: "She's fantastic."
The best thing about being a mom? "Everything!" she gushed to Us.