Last month it was announced that his daughter Kimberly Stewart was expecting a baby by Hollywood actor Benicio Del Toro, despite the fact that the two are not in a serious relationship.
Following news of the pregnancy it was reported that Stewart was angry that his daughter and Del Toro planned to raise the child out of wedlock. However, it now seems that the singer has had time to become comfortable with the idea.
"It's going to be good," Stewart told People, when asked how he felt about the news.
The 66-year-old became a father again himself recently, when wife Penny Lancaster gave birth to their son Aiden just over two months ago.
"I'm trying to make more time now that I've carved out my career," Stewart added. "I want to enjoy my kids.
The arrival of ten-week-old Aiden means Stewart now has eight children by five different women.