N.J. Stat. § 5:10A-37
In addition to the making of assessments for benefits, the appropriate officer of the commission shall fix and determine the amount, if any, the property is damaged incidentally to the making of the improvement and deduct such amount from the amount of benefits assessed thereon. If the amount of any such damages, as confirmed by the commission, shall exceed the benefits assessed on the same property, if in case no benefits shall accrue thereto, or if such property is damaged subsequent to the levying and collection of an assessment which shall be confirmed by the commission to be a direct result of the making of the improvement, the balance or amount of such damages so fixed, may be raised from the general revenues of the commission and shall be paid by the commission to the owner of the property so damaged. Any person aggrieved by such assessment or award of damages may after the same has been confirmed by the commission, appeal therefrom as provided in section 48 of P.L. 2015, c. 19(C.5:10A-48).
N.J.S. § 5:10A-37