Promoted Leipzig are on 63 points while Bayern are on 70 and will have an unassailable 10-point lead with three matches left if they beat VfL Wolfsburg in the later game.
Leipzig were in control for the entire game, missing a bagful of chances, but they could not score, even when the visitors lost Alfredo Morales in the 86th minute for a second booking.
Borussia Dortmund are a further six points behind in third place after they also drew 0-0, against Cologne.
Hoffenheim, fourth on 55, play Eintracht Frankfurt on Sunday.
(Reporting by Karolos Grohmann,; Editing by Neville Dalton)
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