N.M. Code R. § 8.11.5.37
The filing of a notice of appeal shall not stay the enforcement of the secretary’s final decision. Upon a showing of substantial hardship and irreparable harm, the secretary may grant a stay of the final decision pending appeal. The district court may also grant a stay in accordance with the provisions of Rule 1-074 NMRA.
[8.11.5.37 NMAC - N, 10/30/08]