The former England captain would love his boys, Brooklyn, 11, Romeo, seven, and five-year-old Cruz, to follow in his footsteps and has revealed they are keen soccer, American football and basketball players.
He said in an interview with `Good Morning America`: "They`re really into playing soccer, but they`re also into playing other sports. Now, obviously, living in the US, they`re playing football, they`re playing basketball, baseball. They`re talented little boys, but, whatever they want to do, it doesn`t matter... but it`d be great for them to be involved in sports, because it`s such a great thing."
David and wife Victoria Beckham are also keen to add a fourth child to their family.
In another TV appearance made by David on `The View`, the former Spice Girl, who was in the audience, said: "I think one day, if we`re blessed to have more children, it would be amazing. It`s a lot having three boys. So, we`re just enjoying the boys at the moment. But who knows, one day?"
David, 34, revealed his sons have settled into Los Angeles life and are doing well at school.
He said: "We`ve got a great family base. We`ve got an amazing three boys, and we protect them with every ounce of energy that we have. They`re just three little normal boys who are enjoying school. They`re really happy."