Dembele scored five minutes from time, after Bordeaux's Vukasin Jovanovic was shown a straight red card in the 73rd, to put OL on 62 points from 34 games, with fourth-placed St Etienne six points behind before they host Toulouse on Sunday.
The top three qualify for the Champions League with the third-placed team having to play in the third qualifying round to enter the group stage of Europe's elite club competition.
Bordeaux were ahead at halftime through Jimmy Briand and Nicolas de Preville after Memphis Depay's opener for Lyon, but Maxwel Cornet levelled for the visitors who grabbed the winner through Dembele after the hosts were reduced to 10 men.
(Reporting by Julien Pretot; Editing by Ken Ferris)
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