Spencer appeared in one game in 2013, recording two tackles and two pressures. For his career, Spencer has started 68-of-91 games for the Cowboys, posting 472 tackles, 32.5 sacks, 29 tackles for losses, 122 pressures, 16 pass breakups and 11 forced fumbles.
The club also claimed cornerback Chris Greenwood off of the Detroit Lion's practice squad. Greenwood was originally drafted in the fifth round (148th overall) of the 2012 NFL Draft by Detroit out of Albion College.
Greenwood was placed on Detroit's physically unable to perform list on August, 27 2012 with a torn abdominal muscle missing all of his rookie season.
He went to training camp with Detroit in 2013 and was signed to the club's practice squad on September 1, 2013.