Fury and Joshua's camps have been locked in negotiations over an huge all-British title fight to be held on December 3 at Cardiff's Principality Stadium.
WBC champion Fury set a deadline of 5pm on Monday for the fight contracts to be signed, warning Joshua he would seek another opponent if the fight terms had not been agreed by this point.
However, Fury took to social media again on Thursday to extend his deadline for the Joshua fight after holding talks with his promoter Frank Warren.
In a video posted to Twitter, Fury said: "Right, Anthony Joshua, where do we start? So the deadline was Monday, Frank Warren asked me and convinced me to let it carry on for another couple of days.
"Today is Thursday, even though I knew you wouldn't sign this contract I allowed Frank to continue doing meetings with your team, broadcasters and all that; now we have BT Sport, Dazn and ESPN all on the same page. They are happy with everything. They are all ready to rock and roll.
"You guys asked for a lot of stuff. You wanted to be co-promoters when you're a voluntary challenger, guess what? I said give it to them. Let them be co-promoters.
"You wanted full transparency even though you're not an equal shareholder in this party. Do you know I said? Give them full transparency. I have got nothing to hide. I'm not trying to rob anybody.
"Now you have got full transparency everything is clean and fair. Now Joshua, the ball really is in your court son. Everything really is done. If you're a man and have some dignity and pride you'll get this contract signed today. This is it. There are no more days, weeks, months.
You have had 14 days, pull your finger out and make this fight happen for the British boxing public.— TYSON FURY (@Tyson_Fury) September 29, 2022
Don’t be a coward, instruct your team to get this deal done. @anthonyjoshua
"You have had the contract now for over two weeks and you still haven't signed it. Show the public that you are really a big coward, that I know you are and don't sign it. I don't care either way if you sign it or not, it makes no difference to me at all. You're a beaten man and I'm a world champion.
"I'm chucking you a major bone but I know I can punch your face in. There is nothing more to do, everyone is happy. Get your team onto mine, they will be available all day, like they have been for the last two weeks. Get this contract signed today, you big p***y.
"Give the British fans what they want. There is no more running, you have to fight me. You cannot escape, the Fury is coming, b***h."
Earlier this week, Joshua's promoter Eddie Hearn said there was "no chance" the contracts for the fight would be signed before Fury's initial deadline.
And after Warren revealed talks were still ongoing, Hearn confirmed all parties were still working to get the deal done.
"There were various positive calls today between promoters and broadcasters who are all working hard to finalise the fight," said Hearn.
"There has been no talk of a deadline between the parties, but we are moving at pace to try and conclude the deal."
Featured Image Credit: Alamy & Twitter/Tyson_Fury