The 6-foot-4, 220-pound Tuinei had 108 career catches for 1,212 yards and 12 touchdowns during three college seasons at Oregon, the last of which came in 2011.
He signed on with the Seahawks as an undrafted free agent in 2012, spending time on the team's practice squad that season. He was signed by the Bengals to a reserve/future contract following the 2012 season, before later being waived. He subsequently spent time with the Dallas Cowboys.
The Patriots now have 11 wide receivers on the roster after letting go of both Lavelle Hawkins and Perez Ashford on Wednesday.