Zetterberg, who leads the Red Wings with 16 goals, 44 points and a team-best plus-19, reaggravated a back injury prior to Sunday's game against Florida. He had missed 11 games with a herniated disc in December.
Datsyuk hasn't played since Jan. 1, missing 10 games with a lower-body injury.
The Red Wings, however, are optimistic that goaltender Jimmy Howard will return after missing the last three games after fluid was drained from his left knee -- the same knee that caused the U.S. Olympian to miss nearly three weeks in December because of a sprained ligament.
Joakim Andersson also might return from a lower-body injury Tuesday for the Red Wings, who are fighting to keep their streak of 22 consecutive playoff appearances going.
The Associated Press contributed to this report.