This article answers some common questions about subleasing and each party's rights in a sublease agreement. 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.A Sublease Agreement is a contract that outlines the terms of a sublease between an existing tenant and a subtenant. Create your free Texas residential sublease agreement. Download our template and learn how to sublet an apartment in Texas legally. Create a comprehensive Texas sublease agreement with our sample template. You can fully customize, share, and e-sign the template using PandaDoc. A sublease agreement is a rental contract used for rerenting a currently leased unit to a new tenant. Here is a sample sublease agreement you can fill out or use as a template. A Sublease Agreement is a rental contract between an original tenant and a subtenant.