Locke averaged 43.2 yards per punt during four seasons with the Minnesota Vikings before being signed to a two-year contract with the Indianapolis Colts in the offseason. The Colts, however, released Locke last month.
Locke took part in workouts with the Lions on Monday after Redfern tore his ACL, MCL and part of the patellar tendon in his kicking leg in Sunday's season-opening 35-23 victory over the Arizona Cardinals.
Starting punter Sam Martin in eligible to come off the NFL's non-football injury list on Week 7 after sustaining an ankle injury during the offseason.
Also on Tuesday, Detroit signed Emmett Cleary and placed fellow offensive tackle Corey Robinson on injured reserve with a foot injury.
Cleary finished last season with the Dallas Cowboys and was in camp with the team this year.
Robinson was inactive Sunday and spent the entire preseason on the physically unable to perform list.