The meeting, held in Stuttgart, ended with a score of 1: 0 in favor of the guests.
The victory for Leipzig was brought by the goal of Daniel Olmo, who scored in the 67th minute.
Emil Forsberg failed to convert the penalty in the 22nd minute.
Leipzig scored 31 points and moved up to first place in the Bundesliga standings.
Stuttgart with 18 points - 11th.
In other matches of the day, Arminia lost to Borussia Monchengladbach (0: 1), Werder Bremen lost to Union (0: 2), Cologne was defeated by Augsburg (0: 1), Eintracht defeated Bayer (2: 1), Hoffenheim lost to Freiburg (1: 3), and Hertha beat Schalke (3: 0).
Earlier it was reported that they want to see Domenico Tedesco in Mainz.