Eddie Hearn, promoter for IBF, IBO, WBA, WBO heavyweight champion Anthony Joshua, has continued to hold discussions to finalize a 2021 unification with WBC champion Tyson Fury.
Both champions have fights coming up in the next few months.
Fury is scheduled to face Deontay Wilder in a trilogy fight on December 19 in Las Vegas, while Joshua is going to take on mandatory challenger Kubrat Pulev on December 12 in the UK.
Back in June, Joshua and Fury agreed on the financial terms for a two-fight pact in 2021.
There was a big sticking point, with Fury having a mandatory obligation to Dillian Whyte that had to be satisfied by February.
But the obligation was abolished last month, when Alexander Povetkin knocked out Whyte in five rounds.
Hearn has been holding serious conversations with Fury's co-promoter, Bob Arum of Top Rank.
"Yeah, I've been talking to Bob Arum about various things," Hearn told Sky Sports. "Fury against Joshua is a big ambition of everybody involved, to be honest.
"We want to talk about it, but we also want to take care of business, which is Kubrat Pulev for AJ, and Deontay Wilder for Tyson Fury. I'm very sure you're going to see two versions of that fight in 2021. I think we're on the verge now of papering that deal with Bob Arum. We haven't done it yet, but all the conversations are positive.
"We have a lot on our plates with the pandemic, making sure we keep boxing alive and trying to deliver those fights for AJ and Fury, but I think 2021, I'm very sure you'll see those two fights."
Top Rank president Todd DuBoef recently stated that his company is very motivated to get the Fury-Joshua fight done.
"There is a gravitation to bring the titles together, and that would be Joshua and Fury," said DuBoef. "Obviously we would have loved to do that before the end of this year, but for the pandemic.
"I don't think anybody is wavering from that objective. Both guys have great personalities, they can fight, and it is overdue. Let's get it done."