Upamecano failed to return to the pitch in the second-half after pulling up sore late in the opening period, with Tuchel saying the France defender had a "hamstring tear". "We talk about (missing) weeks not days" Tuchel said, revealing "he's already been assessed and we have a diagnosis".
Tuchel told reporters he felt "a little bit jinxed", with fellow first-choice centre-back Kim Min-jae away on Asia Cup duty.
"He was in absolute top form for weeks, also in his ambition, his desire to win, his physicality is outstanding. "It hurts us a lot." Tuchel said midfielders Konrad Laimer and Joshua Kimmich were also under injury clouds, saying the club would "wait and see... I'm a little bit more worried about Konnie (Laimer) than I am about Josh."
Bayern's narrow victory, thanks to a second-half goal from Raphael Guerreiro, takes them four points behind league leaders Bayer Leverkusen.