Tennessee Code Title 41. Correctional Institutions and Inmates § 41-21-812

(a) Except as provided by subsection (b), on notice of assessment of any fees, taxes, costs and expenses under this part, a clerk of a court may not accept for filing another claim by the same inmate until prior fees, taxes, costs and other expenses are paid in full.

(b) A court may allow an inmate who has not paid any costs or expenses assessed against the inmate to file a claim for injunctive relief seeking to enjoin an act or failure to act that creates a substantial threat of irreparable injury or serious physical harm to the inmate.