The 32-year-old - currently in a state of semi-retirement - has reportedly made an offer to the Ukrainian's camp, but Booth claims that they have not been issued with a response.
Haye has made it clear that he is only interested in a fight with either of the Klitschko brothers, who between them hold all the key heavyweight world titles.
"I wrote to Bernd Boente, the Klitschkos' manager, a few weeks ago, outlining the details for David to fight, the dates and so on, in a contest with Vitali and we have had nothing in return," Booth told The Telegraph.
"David has made his feelings quite clear about wanting to fight Vitali before [Vitali] retires. We have not even had a 'no, not interested, thanks'.
"David told me that he 'can't be bothered to wait for Vitali anymore'."
Haye lost a unanimous points decision to Wladimir Klitschko in July 2011, but returned to the ring last year to defeat Dereck Chisora.