The 24-year-old Fury is unbeaten in 21 professional fights and has opted to face fellow British heavyweight Haye rather than fight Bulgarian Kubrat Pulev to set up a title shot against Wladimir Klitschko.
He is known for his no-nonsense approach and was attempting to rile Haye for the majority of their press conference previewing the September 28 fight in Manchester.
Fury beat American Steve Cunningham in New York three months ago to maintain his unblemished record and was quick to deride Haye's achievements.
In front of a packed press room at the Park Plaza Hotel, Fury questioned Haye's previous performances and hit out at his opponent's new media career, which has included an appearance on ITV's reality show 'I'm a Celebrity, Get Me Out of Here'.
Addressing Haye, Fury blasted "Let's not get things confused - I'm a dog and I am chucking you a bone. Before the Tyson Fury fight where were you going to go? I'm giving you a chance to a little claim to fame.
"I'm on everyone's tongue and you are the one who just stinks the place out against people.
"He [Haye] has a lot to say but after the fight with me he will have a lot to say and people can laugh at him.
"I have delivered 21 times in a row, what has David Haye done? Everyone David Haye has fought, including [Wladimir] Klitschko, I would smash to bits.
"Haye is only interested in fame and fortune, I fight because I want to fight.
"You are a celebrity little fighting man and when you come up against a man who has been training for 18 months like a Trojan and you have been pfaffing around playing on the television you are going to be levelled."
Fury believes his high level of determination proves he has enough spirit to see off his 32-year-old Haye.
"I'm going to train hard and I'm hoping for a fight - I'm not hard to hit and I will stand in front of you, but I land bombs if they land them," he said.
"I have got 100 per cent heart and determination that can back up what I say.
"Whatever he brings to the table my heart and determination can overcome and, as we know, it is a massive part in boxing.
"The will to win and never-say-die, don't doubt yourself for a second."
However, Fury did concede that if he lost the fight he would freely admit to his opponent being the better boxer.
But he also feels he will be too strong for Haye if he can keep his emotions in check inside the ring.
"People might want to see Tyson Fury get knocked out because I might be the brash talker and say a lot but I have backed it up so far," he added.
"If David can beat me then congratulations to him, he will have put me out of my misery, there will be no hard feelings at all. If I lose to the better man on the night what can I do?
"I can only train right, eat right and sleep right and give everything I've got, if he beats me, he beats me.
"I can't do any more than what God has given me to do. A man can only do what a man can do but I believe what I can do will be good enough to beat not only David Haye, but the Klitschkos as well.
"I always get carried away whether it is playing football or a computer game, it is all or nothing, my emotions rule my body a lot of the time and that can be a downfall but I can't be faulted for giving everything and wanted to win so badly that it means the world to me.
"It isn't just a boxing match to me, it is everything."
Haye will go in to the fight as the much-fancied favourite but sees this as a bout that can set him up for another chance at a world title tilt.
"A lot of people don't believe he deserves a shot but he's unbeaten in 21 and is up there," he said.
"I want to win a world title again and facing a big, strong guy like Tyson will bring out the best in me. I'm the seasoned veteran on this occasion, which is new territory for me.
"He has claimed he is the best ever, which is a bold statement, but he's got the opportunity to shut me up and prove it - I believe this will be his last shot at the big time and I'm happy to give him a nice pay day."
Haye, who beat compatriots Audley Harrison and Dereck Chisora either side of losing his title to Klitschko in July 2011, believes a fight against a hot prospect such as Fury will give boxing another much-needed shot in the arm in terms of popularity.
"This fight is great for British boxing, the last few years boxing hasn't had that month-by-month coverage that one would like," he said.
"There hasn't been fights out there to generate that but there is with this fight, and even my last fight against Chisora people said it was a good fight - it was praised afterwards so that helped.
"I think a fight against an unbeaten Tyson Fury will do the same thing, it will really capture the public's imagination and once he is dispatched of I think they will be very happy."