Mark also revealed that he only found out he was becoming a grandfather through a newspaper.
He said: "Not only did I hear I was going to be a granddad for the first time via the media, I found out the same way that she's calling the baby Angelo James."
"I'd hoped so much that she'd put my late dad's name, John, in there somewhere, but alas it looks as if it is not going to be."
"I'm not sure why she's chosen James, other than a reference to James Bond, and God alone knows where Angelo has come from. It's very LA, isn't it?"
Despite their rift, the singer's dad insists that he's very proud of his daughter but he won't be watching her when she performs at the Oscars on February 24.
He said: "I know she'll win because she's brilliant but I won't be there and I won't even watch it on television. I'd break down and fall apart."
- BANG! Showbiz