Booth: Vitali running scared of Haye
The two heavyweights have long been linked with a fight, but their camps have failed to strike a deal to put the pair together in the ring.
Klitschko claimed last week that Haye passed up the chance to fight him last September, with the Ukrainian instead fighting Manuel Charr.
Haye is still seeking a shot at the WBC heavyweight champion, but his trainer Booth believes the Klitschko camp do not want to put their man in the ring with the 'Bermondsey Bomber'.
"I would be surprised if Vitali wants to fight David," Booth told Sky Sports News. "I have heard rumours that his coach has said he does not want Vitali to take the fight.
"Both brothers have been remarkably quiet recently, but if you look at Vitali's last two performances against Dereck (Chisora), when by the end of the 12th round Dereck was chasing him down, and then there was Manuel Charr and he did not look good against Manuel Charr.
"He has slowed down, they know David is quick and that David can whack.
"The last thing they want is David Haye knocking out Vitali Klitschko so I would be surprised [if the fight happened]."