A sublease is an agreement where someone takes over part or all of an existing lease. This type of lease involves at least three parties.Create your free Texas residential sublease agreement. Download our template and learn how to sublet an apartment in Texas legally. The Texas sublease agreement is a useful rental form that can be implemented when the tenant of a property wishes to convey occupancy to a new tenant. State the rent schedule and amount. State the agreed upon rental amount and when the subtenant must pay it. Create a comprehensive Texas sublease agreement with our sample template. You can fully customize, share, and e-sign the template using PandaDoc. If the lease is in writing, Texas law requires a landlord to provide the tenant with a copy of the lease within 3 business days of signing.