"We'll see," Quenneville said of Shaw. "That's to be determined. ... [His progress has] been OK. It's tough to say right now."
Shaw missed the last two games of the series due to a lower-body injury he suffered in Game 1.
The Blackhawks returned to Chicago after Game 3 on Tuesday. They rested Wednesday and are expected to practice Thursday before returning to Minnesota.
Shaw was injured after taking a hit from Wild defenseman Clayton Stoner in the first period Friday. Shaw was hit into the boards and fell to the ice. He limped off the ice, went to the dressing room and did not return.
He has two goals, two assists and a zero rating while averaging 15:54 of ice time in seven playoff games this season. He had 20 goals, 19 assists and a plus-12 rating in 80 regular-season games.
The Blackhawks lead the series 2-1.