N.M. Stat. § 73-7-21
If in the first assessment for construction the commissioners shall have reported to the court a smaller sum than is needed to complete the work of construction, or if in any year an additional sum is necessary to pay the interest on lawful indebtedness of said drainage district, further or additional assessments on the land and corporations benefited, apportioned upon the last assessment of benefit which has been approved by the court, shall be made by the commissioners of said drainage district under the order of the court or presiding judge thereof without notice, which further or additional assessment may be made payable in installments as specified in Section 73-7-15 NMSA 1978, and shall be treated and collected in the same manner as the original assessments for construction confirmed by the court in said drainage district.
NMS § 73-7-21