Marks was the 62nd pick overall out of Auburn. He started 37 of 40 games during his three seasons and had 7½ sacks and 30 tackles for losses.
After the announcement of Marks' deal on Wednesday the Titans have only one unsigned member of their 11-player draft class -- wide receiver Kenny Britt. He was the 30th pick overall out of Rutgers.
The Titans waived offensive lineman Ryan Schmidt and defensive tackle Derrick Jones to reduce the roster to 80 players for the start of training camp. The Titans report Thursday with their first practice Friday.