The 21-year-old, who has represented France up to under-20 level, moved to Bayern from Borussia Monchengladbach for £10m in August 2019.
Cuisance made 10 appearances for the European champions during the 2019-20 season, scoring one goal.
He came on as a substitute in Bayern's first Bundesliga game of the season, an 8-0 win over Schalke.
He also remained on the bench during the 2020 Champions League win over Paris St-Germain in August.
Cuisance would be Leeds' fifth major signing of the summer following their Championship title win last season.
Their signings include a club record £26m for Valencia forward Rodrigo, £18m for Real Sociedad defender Diego Llorente, £13m on Freiburg defender Robin Koch, and £16m on ex-Wolves winger Helder Costa.