Sources said that Tuchel will sign a contract in the next few days that will run until 2025 with the Bundesliga giants and added that he had also been in touch with Tottenham in recent days about possibly replacing under pressure coach Antonio Conte.
Fabrizio Romano was the first to report news of the moves by Bayern Munich.
Despite having reached the quarterfinals of the Champions League this season, Bayern are struggling by their standards in domestic competition, trailing Tuchel's former team Borussia Dortmund by a point in the standings and just four ahead of third-place Union Berlin.
Bayern lost 2-1 to Bayer Leverkusen on Sunday, allowing Dortmund to move into first place and Tuchel's first game as manager will come in the next edition of Der Klassiker on April 1, when he will lead the Bavarian side against his former club (stream live on ESPN+ at 12:30 p.m. ET).
Tuchel left Paris Saint-Germain at the beginning of 2021 to take over the manager's job at Chelsea and guided the Blues to the Champions League title in his first half season in charge. He was replaced by Graham Potter early in the 2022-23 campaign after Chelsea stumbled out of the gates.
Bayern will face Manchester City in the Champions League quarterfinals in April.