A sublease agreement is a legal document that allows a tenant to sublet a property to someone else (subtenant). Also known as subletting.A sublease agreement is a rental contract used for rerenting a currently leased unit to a new tenant. Create a sublease agreement to legally sublet your property. Our sublease contract template allows a tenant to rent a unit to a subtenant. Create your free Texas residential sublease agreement. Download our template and learn how to sublet an apartment in Texas legally. Filling Out the Direct Deposit Form. No longer constitute a payment of Rental as provided in this Lease. Significantly affect anticipated revenues either up or down.