Irvine believes that Stones could go on to become a regular for his country.
"John absolutely has what it takes," he told the Liverpool Echo. "Centre-back is the hardest position to play as a young player.
"How many young centre-backs can you think of? They are all older as it is a position where you get better with age.
"So the fact that John isn't always making a last-ditch tackle shows the intelligence of the position for someone so young. He has a way to go but he's a really talented player. I'd be surprised if he does not become a real top player."
Irvine worked with Stones during his stint as academy manager at Everton.