“We intend to fight Fury at the end of this or early next year in one of the countries of the Middle East,” ESNews YouTube channel quotes Klimas.
Usyk on August 21 in Jeddah (Saudi Arabia) defended his championship belts in a duel with Briton Anthony Joshua.
The Ukrainian does not know defeats in the professional ring - 20 wins (13 - by knockout).
Fury, 34, is the World Boxing Council (WBC) world champion.
On account of the British 32 wins (23 by knockout) and one draw.
Earlier, Fury's promoter Bob Arum said that Usyk's fight is expected on February 11 or 18.