Rasmussen scored a goal while adding two shots, one hit and one blocked shot in Thursday's 3-2 shootout win over Edmonton.
Rasmussen (undisclosed) is available for Monday's game against the Canucks, Helene St. James of the Detroit Free Press reports.
Rasmussen has collected three assists over his last 16 outings after being held off the scoresheet in Tuesday's 2-1 overtime loss to the Flyers.
Rasmussen scored a goal on three shots in Wednesday's 6-4 win over the Flyers.
Rasmussen notched an assist and four shots on goal in Tuesday's 3-2 overtime loss to the Bruins.
Rasmussen scored a power-play goal in Sunday's 5-4 overtime loss to the Canucks.
Rasmussen notched a power-play assist, two shots on goal and four hits in Wednesday's 2-1 overtime win over the Flames.
Rasmussen scored a goal and notched three hits in Monday's 5-4 overtime loss to the Sharks.
Rasmussen (upper body) is expected to play Monday against San Jose, Jonathan Mills of the Red Wings' official site reports.
Rasmussen produced an assist and two hits in Wednesday's 4-1 win over the Blackhawks.