Franzen was forced to leave Detroit's 4-1 victory over Toronto on Friday after suffering a leg injury, and he was absent during Saturday's contest when the Red Wings topped the Maple Leafs by a final score of 1-0.
The Red Wings may use the roster spot vacated by Franzen to activate 36-year-old center Pavel Datsyuk for the first time this season.
Franzen was also limited with injuries the last two seasons. The Swedish international played in a combined 95 games the last two years.
In four games this year, the 34-year-old Franzen has five points, including two goals in the win over Toronto on Friday. He is tied with center Gustav Nyquist for second on the team in points, trailing only Henrik Zetterberg, who has six.
Detroit is 3-1-1 this season and currently sits in fourth place in the Atlantic Division. The Red Wings will travel to Quebec to face the Montreal Canadiens on Tuesday evening.
- Brad Rowland