The promoter believes that a blockbuster all-British clash at Wembley Stadium against the former heavyweight world champion next year is the "only" fight left for the Gypsy King after he lost his rematch to Oleksandr Usyk at the weekend.
Hearn told DAZN: "The reality is there’s only one fight for Tyson Fury and that’s Anthony Joshua. It’s the biggest fight in the history of British boxing and everyone will want to see it.
"That wasn’t a Tyson Fury who looked finished. It wasn’t a flat performance, it wasn’t a poor performance. He didn’t look gun shy or like his punch resistance was in question.
"Tyson Fury is still potentially at the peak of his powers, just not good enough to beat Oleksandr Usyk.
"For me AJ against Fury is the one. One at Wembley and then back out here for Riyadh season. I will be pushing his excellency (Saudi Arabia’s boxing powerbroker Turki Alalshikh) to make the fight."
Usyk beat Fury via unanimous points decision in Saturday's (21.12.24) bout but Hearn believes that the fight was a lot closer and struggled to call a victor.
The promoter said: "I couldn’t split them. I thought the fight was a draw – I actually had Fury up going into the last round.
"I thought there were so many close rounds, and I do want to see it back. I think Frank [Warren] was right. Most people on our row [of seats] did have it for Tyson Fury.
"I really struggled to split them. It was more of a chess match than [I expected]. Usyk dominated in the second half of the fight, like we said he would, but it was very close.
"I didn’t feel it was an eight-four fight, but one thing that was pleasing was that the judges all had it the same way. All three are high-quality judges.
"I thought it was very close, but consistency from the judges is good to see. I found it difficult to pick a winner."