The Matchroom boss – whose son Eddie promotes the former heavyweight world champion – thinks Joshua should avoid another fight with Dubois after his disappointing defeat in September and instead focus on a much-discussed bout against Tyson Fury.
Speaking on 'The Barry Hearn Show', he said: "Personally, I think I'd swerve that.
"I think Dubois is dangerous and he's going to be super confident after the last job. I still believe AJ would probably beat him in a rematch if he boxed differently, but that's just my opinion.
"More likely, a sensible person doesn't rush anything. You take your time. But he's his own man and he's gonna make his own call. And I guess my gut feeling is the warrior still burns within Anthony Joshua and he will want to try once more. My crystal ball starts to clear every now and again."
Hearn added: "A Daniel Dubois rematch would be a big fight. But if Oleksandr Usyk beats Tyson Fury – and I think he's the favourite to beat Tyson Fury, possibly this time by stoppage – then the most sensible thing would be one or two fights with Tyson Fury."
The promoter believes that the British greats should fight in Saudi Arabia and then at Wembley Stadium in what could be the last bouts of their careers.
He said: "One in Riyadh, one in Wembley.
"And that may be the swansong for both of them. And in a perfect world, AJ comes back early next year and fights Tyson Fury in February, March in Saudi and then they go again in the summer at Wembley Stadium."