Speaking at an interview with Bad Left Hook, the Bulgarian who is well prepared for a showdown with the Nigerian born-British based boxer made outrageous claims saying that Anthony Joshua is scared to fight him.
"I can't understand why we are still postponing instead of fixing a date and venue and getting to work?" said Pulev.
"It will be the biggest fight since I believe Lennox Lewis and Frank Bruno".
But Fury has to face Wilder for a third time, after the Bronze Bomber triggered a rematch clause shortly after his defeat, while AJ has to face mandatory challenger Pulev next.
"It will be a major fight".
"If I was such an easy fight, why is he not in any rush to fight me?"
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.
Joshua had recently expressed his desire to fight Fury - and hopes that contest can happen sooner than later to settle the debate on which of them is the top heavyweight in the world.
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.
"If I get knocked out by Wilder, then it won't be on, will it", Fury told Sky Sports.
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.
"I've got the rest of the belts so it only makes sense", he said on his social media pages. There will be one dominant figure in the heavyweight division that will have all of the belts and become undisputed.
Fury wants to fight Joshua, but is not going to take any chances with looking too far ahead. Me and Tyson Fury sparred and I bashed him about and dropped him on multiple occasions.
There are a lot of hurdles in the way of that matchup considering Fury and Joshua are contractually obligated to face Pulev and Deontay Wilder, respectively. "Everything was against IBF's rules, but I compromised", Pulev continued.
"We have no problem signing now to fight Fury in 2021".