In March, Bellew recorded an 11th-round stoppage win over Haye, who sustained a torn Achilles during the sixth round, and the pair have agreed to meet for a second time at the end of 2017.
Haye has said that he respects Bellew after his performance earlier this year, but Bellew has laughed off suggestions that the two-weight world champion has changed his opinion.
The 34-year-old told Sky Sports News: "I don't believe he respects me at all. This is an act, what he's doing now. He's doing a great job, to be fair. He has said in the past he wants to be an actor, so he's just done a fantastic job on the stage. He's got my applause.
"He doesn't rate me as a fighter, I know. He actually slipped up halfway through there. He said he didn't underestimate me last time, so if he didn't underestimate me last time - he said I was the worst world champion ever. He said he was going to drill me to the floor within a couple of rounds."
Haye has also questioned the motivation of Bellew after the Liverpudlian upset the odds to prevail in London seven months ago.