Tex. Transportation Code § 370.258

(a) An authority may indemnify one or more of its directors or officers for necessary expenses and costs, including attorney's fees, incurred by the directors or officers in connection with any claim asserted against the directors or officers in their respective capacities as directors or officers.

(b) If an authority does not fully indemnify a director or officer as provided by Subsection (a), the court in a proceeding in which any claim against the director or officer is asserted or any court with jurisdiction of an action instituted by the director or officer on a claim for indemnity may assess indemnity against the authority, its receiver, or trustee only if the court finds that, in connection with the claim, the director or officer is not guilty of negligence or misconduct.

(c) A court may not assess indemnity under Subsection (b) for an amount paid by the director or officer to the authority.

(d) This section applies to a current or former director or officer of the authority.

(e) If an officer or director who has been indemnified by an authority under Subsection (a) is subsequently convicted of an offense involving the conduct for which the officer or director was indemnified, the officer or director is liable to the authority for the amount of indemnification paid, with interest at the legal rate for interest on a judgment from the date the indemnification was paid.