Haye, 29, won the WBA belt by beating giant Russian Nikolay Valuev on points in Germany on 7 November 2009.
The former cruiserweight king, who has lost only once in 25 professional bouts, then defended his title by stopping American John Ruiz at the MEN Arena in April.
"The fight will be a public execution," added Haye. "His resume is not as good as that of the last five people I have fought.
"Everybody feels passionately that they want me to finally close the curtain on the joke that is the Audley Harrison show.
"Audley has known me for years, he knows how devastating I am in the ring. He knows it first hand from sparring sessions. I'm no joke.
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"I'm the most devastating fighter on the planet. This is the time your career gets well and truly finished."
Haye and Harrison are former friends and training partners, but the two men traded insults at a news conference to announce the fight on Tuesday morning.
"He is a guy I groomed," added Harrison. "I have tasted his punches and power and he never hurt me in a training session.
"This is my destiny - on 13 November Audley Harrison will be champion of the world and of that there is no doubt.
"If David Haye thinks I've taken this fight strictly for a payday, he is in for a rude awakening."