Fury took to social media on Sunday evening to declare that the heavyweight unification bout with his British rival will take place on August 14 in Saudi Arabia.
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Fury was due to defend his WBC heavyweight belt for the first time against German fighter Agit Kabayel in December before he postponed his comeback until 2021.
Fury believes the rematch clause in his contract has expired and will instead fight Agit Kabayel in London on December 5.
The heavyweight champion had been due to take on Deontay Wilder for a third time but walked away from the fight after it was postponed until 2021.