Haye repeated his desire to meet Klitschko after his five-round disposal of Dereck Chisora in their controversial weekend clash.
But WBC world heavyweight champion Klitschko now looks more likely to enter politics than enter a ring with Haye after his forthcoming bout with Manuel Charr.
"We offered Haye the fight in September but he chose to fight Chisora instead because that was easier for him," said Bernd Boente, Klitschko's manager.
"David probably turned Vitali down because he got more money against Chisora, who is by far the easier opponent.
"We had a contract ready for Haye, had booked an arena, but he turned us down for a second time - the first time he chose to face Nikolai Valuev instead.
"After fighting Manuel Charr, Vitali goes on the campaign trail for parliamentary election in the Ukraine.
"Should he be elected on October 28 then he will probably stop boxing. For him politics is the future - he wants to fight for democracy.
"But even if he's elected, maybe he'll want to have a farewell fight.
"At the moment David Haye means nothing to us and Vitali is definitely not afraid of fighting him."
Haye fears his explosive demolition of Chisora was "too good", convincing Klitschko that he should be avoided.
"Vitali doesn't want to fight me. Look what I did against Chisora and look what he did against him," Haye said.
"Why would a 40-year-old man fight someone as young, fresh and powerful as me?
"Vitali's a politician and he'll find a way to get out of the fight."
Follow us @SprtNationalUAE