Bellew has repeatedly made fun of the 36-year-old's spending time with 'acquaintances and celebrity mates' throughout his time in the United States, and doubting his rival's work ethic.
Haye hit back, however, telling Sky Sports News: "I could turn up to this fight in the worst condition I've ever been in, and still knock him out inside one round. But I'm actually happy training.
"In the past if I had this fight, I might not have done much training for it. But because I've come here, I want to train. I wake up in the morning and feel good, I want to push my lungs, I want to go for a swim, I want to do some sprints, hit the back for an hour. It feels good.
"So he's definitely got me at the wrong time in my career. He probably thinks he's got me at the right time, at the ripe old age of 36. But if you look at my career, I don't have many miles on the clock. I haven't been beaten up."
Haye will take on Bellew at the O2 in London on March 4.