The superintendent of streets shall, at any time, receive the amount due upon any assessment and warrant heretofore or hereafter issued by him and give a good and sufficient discharge therefor, except that after the last date for payment of assessments, as specified in the statement provided by Section 5390, the superintendent of streets shall not receive any amount due upon any unpaid assessments for which the legislative body has provided for the issuance of bonds to represent said unpaid assessments. The legislative body may prescribe by ordinance that the duties imposed by this section on the superintendent of streets shall be performed only by the treasurer.