Joshua Kimmich scored the game's only goal on Tuesday as the champions opened up a seven-point advantage
Borussia Dortmund will find it "brutally difficult" to prevent Bayern Munich winning an eighth straight Bundesliga title after defeat in the Klassiker, according to Lucien Favre.
Dortmund came into Tuesday's home showdown against the leaders just four points behind Bayern and having won their previous six Bundesliga matches.
However, they were undone by Joshua Kimmich's brilliant chipped goal from the edge of the penalty area shortly before half-time and Bayern held on to move seven points clear with six matches to play.