N.M. Stat. § 66-7-314
Movement of hazardous vehicle; escort may be required.
When, in the judgment of the New Mexico state police division of the department of
public safety or local authorities with respect to highways under their jurisdiction, the
movement of any vehicle is deemed a hazard to traffic upon a highway over which the
vehicle is to travel, the granting of permission for the movement of the vehicle may be
conditioned upon a special escort accompanying the hazardous vehicle.