N.M. Stat. § 8-6-4
It shall be unlawful for the state treasurer to disburse or pay out any funds in his hands, the proceeds of any regular or special tax or any moneys that may come to his hands as treasurer of the state of New Mexico, except on warrant of the secretary of finance and administration; provided, that in the case of the payments of maturing interest coupons on the bonded debt of the state and in the case of the payment of retiring bonds of this state - either at the maturing of the optional period of the maturity thereof, wherein the law authorizing the issue of such bonds and coupons specifically designates a place of payment other than the office of the state treasurer - the said treasurer may remit such moneys as are necessary, to the places of payment so designated, to take up and pay such state obligations; and immediately upon receipt of such coupons and bonds so paid, he shall present same to the secretary properly cancelled and itemized, and when so presented to the secretary it shall be the duty of that official to issue his warrant chargeable against the proper funds, for the payment so made; provided further, that this article shall not affect or apply to cash appropriations made by the United States government to state institutions, over which the state has no jurisdiction as to expenditure and wherein such appropriations are remitted to the state treasurer, and by him immediately transferred to the treasurers of such institutions.
NMS § 8-6-4