The former France forward smashed in a volley from a clever free-kick on 27 minutes to send Lille nine points clear of Lyon, who face Marseille in Sunday’s late game.
Christophe Galtier’s Lille need just one point from their remaining two matches to guarantee second place, a remarkable turnaround after the club narrowly avoided relegation last season.
Bordeaux’s turbulent end to the campaign will see them finish with their lowest points total since 2004-05 as they suffered a fifth successive defeat.
Earlier on Sunday, Guingamp’s six-year stint in the top flight came to an end after Marcus Thuram missed a stoppage-time penalty in a 1-1 draw at Rennes.
