Schneider, who scored the overtime goal in San Jose on Wednesday night that evened the series at 2, was hurt when checked by Sharks captain Patrick Marleau.
"He's a big part of our game. He's a top-four defenseman who plays a lot of minutes," Wings captain Nicklas Lidstrom said. "He's a big part of our power play, so yeah, he'll be missed."
The Wings already were ailing on defense, with Brett Lebda out with an ankle injury. Rookie Kyle Quincey took Lebda's spot in the lineup.
Detroit won 4-1 to take a 3-2 series lead.
In 11 playoff games, Schneider had two goals and four assists with a plus-4 rating.