The Russian forward will be replaced by Teemu Pulkkinen, the team announced.
The Red Wings come into Sunday's contest in the first wild-card spot in Eastern Conference. The Pittsburgh Penguins at 74 points hold the second spot, with the Philadelphia Flyers three points out coming into Sunday.
Datsyuk has already missed 15 games this year, though when healthy he's managed to put up 36 points (13 goals, 23 assists).
Pulkkinen, 24, has six goals and six assists in 32 games.