N.M. Stat. § 52-1-4

A. Every employer subject to the Workers' Compensation Act shall direct his insurance carrier to file, and the insurance carrier shall file, in the office of the director evidence of workers' compensation insurance coverage in the form of a certificate containing that information required by regulation of the director. The required certificate must be provided by an authorized insurer as defined in Section 59A-1-8 NMSA 1978 . In case any employer is able to show to the satisfaction of the director that he is financially solvent and that providing insurance coverage is unnecessary, the director shall issue him a certificate to that effect, which shall be filed in lieu of the certificate of insurance. The director shall provide by regulations the procedures for reviewing, renewing and revoking any certificate excusing an employer from filing a certificate of insurance, including provisions permitting the director to condition the issuance of the certificate upon the employer's proving adequate security.

B. Any certificate of the director filed under the provisions of this section shall show the post office address of such employer.

C. Every contract or policy insuring against liability for workers' compensation benefits or certificate filed under the provisions of this section shall provide that the insurance carrier or the employer shall be directly and primarily liable to the worker and, in event of his death, his dependents, to pay the compensation and other workers' compensation benefits for which the employer is liable.

D. In the event of an insurance policy cancellation, the workers' compensation insurance carrier shall file notice to the director within ten days of such cancellation on a form approved by the director.