Depp, 52, says he is worried about the 16-year-old's modelling career, but is ok as she is happy, reported People magazine.
"To be honest, I'm quite worried. I wasn't expecting all this to happen to Lily-Rose, especially not at this age. But it's her passion and she's having fun," the "Black Mass" star said.
Daughter of Depp and his former partner, French actress Vanessa Paradis, Lily-Rose is the face of Chanel's Pearl eyewear.
She is also through with her first feature film "Yoga Hosers".