Hunter wrote on Twitter he couldn't wait to get back to his own bed Tuesday a few hours before the Titans announced the roster move.
He was hurt Sunday when hit by Texans safety Danieal Manning in the first quarter on a pass that was intercepted. Hunter returned only to be taken to the hospital after complaining of stomach pains during the 45-21 loss.
The Titans also signed offensive tackle Terren Jones off Baltimore's practice squad.
The 6-foot-7, 341-pound Jones was undrafted in 2013 out of Alabama State, and he has been on the practice squads with Atlanta, Atlanta, Washington and most recently Baltimore.
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