Peter Bosz's men pressed for an equalizer but Dortmund stood firm and saw out the game.
With their victory, the black and yellows sit three points ahead of second-placed Bayern Munich, while Bayer Leverkusen slip down to seventh.
Elsewhere, Eintracht Frankfurt recorded their 10th win of the season after a comfortable 3-0 win over bottom side Hannover.
The Eagles scored three second-half goals through Ante Rebic, Luka Jovic and Filip Kostic to climb into the top six.
In Monday's late game, RB Leipzig will take on Hoffenheim to conclude matchday 23 in Germany's top flight.
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