The impending free agent said after Tuesday's practice that he "probably" won't be back, but added "you never know."
The Houston Chronicle's John McClain has consistently opined that Tate's days with the Texans are drawing to a close. Seeking a bigger contract, Tate has made it clear that he's not satisfied with being relegated to a complementary role behind Arian Foster.
Sources told NFL Media Insider Ian Rapoport the Cleveland Browns are one of several teams interested in signing Tate once free agency commences.
Jonathan Grimes is expected to start at Tennessee, complemented by newly signed Ray Graham. With a breakout performance, Grimes could stake his claim to Tate's backup role behind Foster.