Tex. Bus. & Com. Code § 44.252
§ 44.252. Stay of Penalty
The enforcement of the penalty may be stayed during the time the order is under judicial review if the
person pays the penalty to the clerk of the court or files a supersedeas bond with the court in the amount of
the penalty. A person who cannot afford to pay the penalty or file the bond may stay the enforcement by filing
an affidavit in the manner required by the Texas Rules of Civil Procedure for a party who cannot afford to
file security for costs, subject to the right to contest the affidavit as provided by those rules.