While boxing promoters and fans have been clamouring to arrange a bout between Fury and Joshua, Fury has said they will have to wait.
The Bulgarian professional boxer was scheduled to meet Joshua on June 20, but the fight was postponed due to the COVID-19 outbreak.
"If I get knocked out by Wilder, then it won't be on, will it", Fury told Sky Sports.
It would appear the two British heavyweights will need to wait and win their respective fights with neither Wilder nor Pulev appearing likely to accept "step-aside" money. If he loses to Pulev, so close, but so far away. In heavyweight boxing, you can never count your chickens before they hatch, so one fight at a time, one victory at a time.
Fury said a meeting with Joshua had the potential to be the biggest match since Britons Lennox Lewis and Frank Bruno fought in 1993. "It was a while ago, Cardiff Arms Park".
He adds enough is enough and he can not wait to win this fight.
But Pulev says it's time for him to get his title shot, and he won't be accepting any offers to stand aside. He just talks rubbish.
His £1million plan is to open with the all-Brit world title clash between Terri Harper and Natasha Jonas in mid-July, before closing with Dillian Whyte's WBC interim heavyweight title fight against Alexander Povetkin in the first or second Saturday in August. Let's get it on.
Fury holds the WBC belt, while AJ is the WBO, WBA and IBF champion, meaning the victor of a bout between the pair would be crowned unified, undisputed world champion. What it will prove, me and him fighting?
"Logically to prove yourself as No 1, I have to fight Tyson Fury".
It led to talk of Pulev being paid to step aside so Joshua could face Tyson Fury for all four heavyweight belts.
"It'll be another fight with Wilder".
"I can't understand why we are still postponing instead of fixing a date and venue and getting to work?" said Pulev.
In a recent interview, Hearn stated that he's ready to sign a two-fight agreement right now - with the initial contest to take place in 2021.