Speculation first suggested that the injury was a cut, but the statement from the Flyers did not specify the nature of the injury.
After the game, RDS' Renaud Lavoie reported that the young center "should be OK" and a doctor will re-evaluate him on Friday.
Couturier has recorded three goals and an assist for four points in nine playoff games and was given credit for shutting down Art Ross Trophy winner Evgeni Malkin of the Pittsburgh Penguins in the first round of the playoffs.