The 8 Out of 10 Cats presenter said he wants a healthier relationship with his own son who was born in 2019, than he had with his own father, Patrick James ‘Jim’ Carr.
Speaking on the Parenting Hell podcast with hosts Rob Beckett and Josh Widdicombe, Carr said that while he wants "the best" for his father, he doesn't want him in his life.
"It’s not a secret, I haven’t seen my dad in 21 years and you know the line, 'My mother’s dead and my father’s dead to me' – which sounds very cold, until you meet the guy,” he joked.
"It’s a weird thing where I’m acutely aware that things don’t always work out… I’m aware that sometimes it goes the other way and that could be terrible and there’s no bitterness and there’s no anger there.
"I want the best, I just can’t have that guy in my life," he added.
"There’s a bit of sadness there and you worry, 'Could something go wrong with my kid?' You want to prevent that, but it’s hard.
"I think it’s about being a father and being that figure for him but not in any way controlling."
It appears his relationship with his father ended shortly before the death of Jimmy’s mother, Nora Mary, who died in September 2001.
The comic referred to “losing” his mother and father at the same time but said he was grateful to have “enough father figures and mother figures in life”.
The 49-year-old TV star, who welcomed his son with long-time partner Karoline Copping (46), said he decided to name him Rockefeller after the famous American billionaire.
He told the Radio Times: “[The paparazzi] took plenty of photos of me pushing a pram. Or maybe they thought I was taking old CDs down to the dump in it because I’d fallen on hard times.”
Speaking about being a dad for the first time, he added: “It could be a bit of a gear shift, because of the kind of comedy I do. But so far, I’m still telling the same jokes, I’ve got the same sense of humour.
“We’ll see, because I’m sure I’m going to be writing a lot of material about him. In fact, I think he might be tax-deductible.”