The 35 year-old former WBA belt holder is set for a second comeback bout on May 21 in London, six weeks after Joshua’s challenges Charles Martin for the IBF heavyweight title at the same O2 Arena.
Should Joshua dethrone the American, Haye is in line for a massive late summer clash with the Olympic gold medallist at Wembley Stadium, provided the ‘Hayemaker’ can earn himself an IBF ranking in the spring.
“He’s one of the best in the world and we’ll find out on April 9 just how good he is,” Haye told BBC 1Xtra’s Breakfast show.
“I’d love to get in the ring with him and see how good he is. If he wins his next fight I’m pretty positive there will be the public demand to get the two best British fighters in the ring.”
Asked how the fight could end, Haye added: “It might be a one round job. I’m not saying it in a disrespectful manner to him, but when I hit people on the chin: they stay hit and then they hit the floor.
“I’m very fast, very agile and I punch hard; when you put those things together it’s an interesting one.
“He’s the young buck and I’m the old veteran. I’d love the opportunity to get in there and show him a couple of things.
“I do believe he’s the real deal as he’s had 15 knockouts in 15 fights, but I was heavyweight champion before he even started boxing. That shows the gap in experience.
“I want to unify the heavyweight division. I I set my plan out to do that and fell short. I am going to make a serious run at this division.”
Possible opponents for Haye to receive a rankings boost by the IBF include Bermane Stiverne, Andy Ruiz and Kubrat Pulev, all of whom would see the two-weight world champion gain the top 15 rating needed to face Martin or Joshua.