Cuaron - who helmed the third film in the franchise, HARRY POTTER AND THE PRISONER OF AZKABAN - is battling Heyman's belief that the adolescent actors need to be replaced before they outgrow their roles as the HOGWART school children.
But the Mexican filmmaker insists, "It would be amazing to have the whole series with the same kids. Right now they're doing number four. There's only three more to go. I just hope they keep the same cast for the whole thing.
"So far, they're holding up very good, the way that they are ageing. I don't think Dan is going to get way much taller or suddenly grow another eye. Same with Emma, and Rupert is OK."