Peter says: "Junior has taken over! He's amazing.
"Although I do look at people like Brooklyn Beckham - he's in his teens which is a tricky age - and I know that Junior will be in a similar position with growing up in the spotlight when he gets to that age and I'll be like, 'Uh OK.'
"But whatever Junior wants to do, he has to finish school first. That's the rule."
Peter - who is also dad to Princess, eight, with his ex-wife Katie Price, 37, and Amelia, two, with his second wife Emily MacDonagh, 26 - says he's happy to see Junior and Princess follow in his footsteps and pursue TV projects.
He says: "I don't mind them being in the spotlight; they're no strangers to it because of my past reality shows, Katie & Peter and Peter Andre. They enjoy it!"
To read the full interview, pick up a copy of this week's Closer magazine.