The French midfielder joined Bayern from Bundesliga club Borussia Monchengladbach just over a year ago, but has been told he can leave the Allianz Arena after struggling for game time at the club.
The 21-year-old was an unused substitute when Bayern beat PSG in the Champions League in August, and Leeds are negotiating a price with the multiple time German champions after agreeing personal terms with Cuisance earlier in the window.
According to transfer guru Fabrizio Romano, Leeds are offering €20m for the central midfielder, but Bayern were holding out for closer to €30m.
Cuisance was one of the most highly rated players in Germany when he left Monchengladbach, but made just five league appearances last season as the likes of Javi Martinez, Joshua Kimmich, Thiago and Corentin Tolisso were picked ahead of him.
Elland Road could be the perfect place for the left-footed playmaker to get his career back on track and provide another boost to a Leeds side that have made an impressive start to their first Premier League season in 16 years.