Fans could be in for The Beatles: The Next Generation as three of the bandmembers' children have said they'd by 'up for it.'
James McCartney, Sean Lennon and Dhani Harrison are apparently all on board to follow in their fathers' footsteps, according to the former.
It is only Ringo Starr's offspring that could be holding up The Beatles Juniors.
During an interview with the BBC, James revealed: 'I'd be up for it. Sean seemed to be into it, Dhani seemed to be into it. I'd be happy to do it.'
But the 34-year-old added that Ringo's drummer son Zak wasn't as keen. 'I don't think it's something that Zak wants to do,' he said. 'Maybe Jason [another of Starr's sons and also a drummer] would want to do it.'
Pressed on whether a new band could be in the foreseeable future, James replied: 'Yeah, hopefully, naturally. I don't know, you'd have to wait and see. The will of God, nature's support, I guess. So yeah, maybe.'
James, who is currently touring with his own material, admitted that his dream once was to be 'better than The Beatles,' but has conceded that he's not sure it is possible. 'If anything, I would love to be equal to The Beatles - but even that's quite tough.'
The singer-songwriter, who's played guitar on two his father's albums Flaming Pie and Driving Rain, is following in his father's footsteps by playing a gig at Liverpool's famous Cavern Club on Tuesday.
The Cavern is where the Beatles played dozens of gigs before hitting the big time.
James said it had been 'beautiful' working with his father, who co-produced two of his EPs, including sessions at the Abbey Road studios.
Asked about his relationship with Sir Paul, he said: 'It's amazing. Sometimes in the past, a few years ago, it can be difficult, it can be tense, like families can get. But beyond that it's beautiful.
'He's a genius, he's beyond genius, and he's a big inspiration. Very intellectual and obviously amazing at what he does, so it's great fun. He helps me get in tune with myself and be the best person that I can be.'
James admitted that having the name McCartney was 'a help' in the music business. But unlike some famous offspring who are bitter about their well-known surname, James said it is 'an honour' to be related to Sir Paul.