Fury made a statement on Saturday night when he scored two knockdowns before stopping Deontay Deontay Wilder in the seventh round of their rematch in Las Vegas.
“I’ve already spoken to AJ and he wants to go into this fight next,” Hearn told Talk Sport.
“We have to make this fight happen. We will never, ever get the chance for two Brits to fight for an undisputed heavyweight world championship. I promise you we will do everything we can to make this fight. It has to happen.