A Texas sublease agreement is used when a tenant (sublessor) wishes to lease their residence to another person (sublessee). Create your free Texas residential sublease agreement.Download our template and learn how to sublet an apartment in Texas legally. This template ensures a robust and compliant subleasing process. Fill in our free sample to confidently navigate your sublease agreement in Texas. Sample Sublet Agreement. Show prospective clients you're ahead of the curve. Download our free Texas sublease agreement template to help you win more clients. State the name of the parties and the date of the contract. A Texas sublease agreement defines the terms that allow a subtenant to move into an alreadyleased rental unit.