The announcement for the next fight for Joshua is likely to be made in the coming weeks with Pulev expected to be his opponent.
And Hearn told talkSPORT this fight will definitely be in the UK.
He also said they would be taking a keen interest in the WBC heavyweight title fight next month.
“He’s (Joshua) got two mandatories. The first one he has to deal with is Kubrat Pulev. The next one he has to deal with is Oleksandr Usyk.
“It’s a pretty tough year for him, but also we want to see what happens on February 22 with Wilder vs Fury as we want to try and push for that after the Pulev fight as well.
“It looks like end of May or early June for Pulev. Looking to come home to London. He hasn’t boxed in London for coming up to two years by the time that fight takes place.
“Tottenham Hotspur, Emirates, Twickenham, all conversations that we are having at the moment. It’s exciting for British boxing and for the fans to see him come back,” Hearn said of Joshua.
“We went through a stage of Klitschko at Wembley with 90,000, Takam at Millennium Stadium 80,000, Parker at Millennium Stadium 90,000, Povetkin at Wembley Stadium 80,000. I just felt like we needed something fresh, we needed to change things and take him on a little bit of a tour.
“Unfortunately that ended in a knockout defeat to Andy Ruiz Jr at Madison Square Garden, which everyone will remember but thankfully it ended up in a victory in Saudi Arabia. It’s important to come home but hopefully we can get something done in the next few weeks.”
Pulev is the mandatory opponent against Joshua for the IBF belt while Usyk has been put forward by the WBO after he moved up from the cruiserweight division.
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