The undefeated “Gypsy King” had been set to face a money-spinning heavyweight unification fight against fellow Briton Anthony Joshua.
However that fight was scuppered after an arbitrator ruled that Fury was legally obligated to face Wilder in a third fight.
Fury handed Wilder a brutal beating in seven one-sided rounds in their second fight in February 2020.
Their first fight, in December 2018, ended in a controversial split-decision draw in which Fury was knocked down twice.
Neither Wilder, 35, nor Fury, has fought since their bout in Las Vegas last year.