Joshua, the WBA (Super), WBO, IBF and IBO heavyweight champion, is next scheduled to take to the ring at Wembley Stadium on April 13.
The Olympic gold medallist currently doesn’t have an opponent for his latest Wembley outing, though, which has fuelled rumours he could soon fight in America.
Joshua is determined for his next fight to be a unification bout against WBC titleholder Deontay Wilder, who fought Fury to a controversial draw last month.
His promoter Eddie Hearn recently claimed Fury has been in contact with him about a potential fight ‘Battle of Britain’, which has led some to believe Joshua vs Fury could finally happen this year.
Warren, however, has shattered the hopes of those wanting to see the super-fight this spring by insisting no negotiations have taken place.
“We’re certainly not having any conversations with Anthony Joshua because no one ever contacts us,” Warren told IFL TV.
“All we do is read things, Hearn saying he’s been talking to him and tweeting him.
“As it stands now we’ve had zero with regards to any communication. Nothing at all.”
Warren is open to discussing a domestic barnburner with Hearn but has insisted his and Fury’s sole focus is a rematch with Wilder.
He added: “At the end of the day, (if Team Joshua) want to do anything, they got our number, just pick the phone up because that’s where it starts – it’s here.
“We will then pass on whatever the discussions are to Tyson to make a decision, but that’s where it’s at.
“That’s again is a great fight, but we’re focused at the moment on Deontay Wilder but him and Joshua is a great fight. There’s no doubt about it.”
Fury is eager to fight Joshua and prove to all his detractors that he’s the best heavyweight on the planet.
But ‘The Gypsy King’ doesn’t foresee the fight ever coming to fruition.
This past weekend, Fury – the lineal heavyweight champion – told BT Sport: “I’ve already beat Wilder, so that’s one day.
“And I’ll do the same to Joshua if given the chance. But I don’t think it’s going to happen.
“I’m sorry to disappoint the sports fans, but Joshua, even with two hammers in each hand, could never beat Tyson Fury and they know that. They know that. They’re not silly.
“And it’s a business as well. So they’re not going to take the fight, simple as.
“They may say they’ll take the fight and talk about and then fight somebodyelse,like they keep doing.
“That fight ain’t gonna happen. So I’m not holding my breath at all.”