New Jersey Statutes Title 2A. Administration of Civil and Criminal Justice 2A § 42-13

The landlord, his heirs or assigns, may, where the agreement is not in writing, recover a reasonable satisfaction for the real estate, held or occupied by the defendant, in an action for the use and occupation of what was so held or enjoyed.

No such action shall be defeated by a parol lease or agreement whereon a certain rent was reserved, but no damages may be recovered in excess of the amount of the rent so reserved.