Sherrod is a former first-round draft pick by the Green Bay Packers in 2011. He was in his fourth season with the Packers before being waived on Nov. 3.
The 25-year-old played in eight games this season for Green Bay at right tackle, including one start. He's played 20 career games and missed the entire 2012 season due to a fractured leg.
Sherrod attended Mississippi State, where he played for four years. He was named first team All-SEC in 2010.
The Titans (2-7) host the Pittsburgh Steelers (6-4) on Monday.
- Molly Geary