The 14-year-old plays for the club's academy and has been hugely impressive at youth level.
The older Rooney, who is now manager of Plymouth, cannot wait to see his son try to become a professional.
Rooney told The Overlap: "He's got my physique. He'll be taller than me.
"He's a goalscorer. In the box he sniffs chances out and that's his game, he's doing okay."
On the future, he added: "It's too early. I think he's showing potential and good signs.
"He'll be at United for the next two years and then that's when they make decisions on you, so we'll just have to wait and see."
When asked if he was tough on his sons, Rooney laughed and stated: "Not really, no.
"I ask them questions. So after training or games, I'll ask them what they think, and just try to give them a little guidance really.
"Like his goal against City on Tuesday. As a forward you get told to run across the front post, so he kept doing it.
"I said 'you need to be aware of who's in the penalty area. If you're on your own, you need to make the decision whether to go front or back'.
"He was on his own and he pulled to the back post, the ball comes and he scores a header - so just little things like that."