The Titans also placed rookie safety Markelle Martin on the list Wednesday. Both can practice once they pass a physical.
Tennessee reports for training camp Friday, and Britt's availability for practice was doubtful after the team confirmed he had arthroscopic surgery on his left knee after the team's minicamp in June. He tore his right ACL in September and had a second surgery on that knee in May.
Britt also was charged with driving under the influence July 20 when trying to drive onto the Fort Campbell Army installation.
The Titans also waived undrafted rookie offensive lineman Chandler Burden.