The playmaker, who was replaced at halftime in the 1-0 home win over Maccabi Haifa in the Champions League on Wednesday, will be sidelined for 10 days with a thigh problem.
"He has a muscle strain behind his left thigh. He will take some time off," coach Laurent Blanc told reporters.
Gourcuff, who has scored four league goals this season, shrugged off a similar problem to play 79 minutes in Sunday's 1-0 victory over Stade Rennes.
"The pain is not in the same spot," said Blanc who is likely to use Brazilian Fernando as his replacement on Saturday.
A Bordeaux win would put pressure on second-placed Olympique Lyon who visit RC Lens in Saturday's late game.
"We need to give our best at Lens because it will be a very tough game," said coach Claude Puel. "They will definitely be waiting for us."
