Datsyuk suffered the injury late in the first period. He was tripped by former teammate Mikael Samuelsson and fell awkwardly, jamming his hand into the ice on the way down.
He returned to play out the rest of the period but did not take a faceoff. Datsyuk was not on the bench to start the second period.
The Red Wings play 14 games in the upcoming four-week span.