Ivan Leke had given Club Brugge the lead from the penalty spot in the 39th minute, but Elyaniv Barda equalised for Genk four minutes after the restart.
However, they were only level for seven minutes as Djokic popped up to move Club Brugge a point behind Jupiler League leaders Standard Liege. Elsewhere, Anderlecht were held to a goalless draw at Cercle Brugge.
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