"We have agreed to the terms that Eddie has put out to us for a fight in the UK", Wilder was quoted by ESPN as saying.
Wilder's team have also left the £37m offer made to Joshua in April on the table if the WBA, WBO and IBF champion changes his mind and wants to travel to the U.S. for the fight instead.
"If they change their mind, the $50 million [against 50 percent of the event] we offered them [to come to the United States] is still on the table". We made this offer about four weeks ago and I don't know if he's come back because he's heard we're close to closing the Povetkin fight or whether he wants the fight, but either way he's going to be getting a contract from us ASAP. "But I think they are slowly realizing that without Anthony Joshua, the future is not too bright and rosy for Deontay Wilder". And we said yes.
However, a massive update took place on Monday night as WBC champion Wilder revealed that he'd accepted Joshua's terms to fight in the United Kingdom.
The American said: "The $50M offer for him to fight me next in the USA is still available". It's up to them to choose United States or UK.
Another possible outlet is the Perform Group's DAZN sports streaming service, which is due to launch in the USA later this summer, with Hearn's recently agreed to eight-year, $1 billion deal to provide boxing content due to begin in September.
Should Joshua, 28, fight the American next, the victor would become the first heavyweight to hold all four recognised world titles at once.
Hearn said last week it looked likely Joshua would fight his mandatory Alexander Povetkin next, but it seems AJ will now have the chance to go toe-to-toe with Wilder first.
If everything agreed in discussions is included and they are happy with the date and venue, then Wilder will sign for the money-spinning bout.
As Wilder said, the ball is in the court of team Joshua now. Not only does he hold a majority of the prominent belts, his victory in a war over onetime long reigning division king Wladimir Kltischko established the fighter as the man to beat throughout the fight world.