The 35 year-old, who makes his second outing since making a comeback next month at the O2 Arena, watched on as Joshua pummelled Charles Martin in two rounds at the very same arena on Saturday night.
Joshua claimed a first world championship in just his 16th pro bout and veteran Haye immediately stepped up to the plate to offer himself as a future challenger for the 2012 Olympic gold medallist’s new red strap.
“The way I fight is completely different to Charles Martin. They say styles make fights, but I don’t stand up in the air and my head is constantly moving,” said Haye in his role as ringside analyst for Sky Sports.
“I throw lots of feints and I’m fast, but I’d relish the opportunity to fight someone like Anthony Joshua as I’ve never had problems with big guys like that, particularly guys who rely on their power.
“I’ve been hit on the chin by big guys. Wladimir Klitschko hit me on the chin and he never put me down. As I have developed into heavyweight, I believe my chin has got better and a fight between myself and Anthony Joshua, I don’t believe there’s a bigger fight in world boxing,” he added.
As Haye already has two fights lined up against Arnold Gjergjaj and Shannon Briggs this year, it may be 2017 before the encounter can come to fruition. That means Tyson Fury could possibly pip Haye to the chance if he can once again overcome Wladimir Klitschko on July 9.
Joshua will have an early decision to make whatever happens after a first defence in the summer as a mandatory fight with the winner of Joseph Parker v Carlos Takam is stipulated to be arranged by the end of November.