The Assignor wishes to assign the Lease to the Assignee and the Assignee desires to assume the Lease from the Assignor. Use this lease assumption agreement template to create a document that allows you to transfer your lease to someone else legally and easily.Loan Assumption Addendum. Free Lease Assignment Agreement. Answer a few simple questions. All you have to do is fill out our easy-to-understand questionnaire. This assignment and assumption of lease agreement template transfers a tenant's interest under a commercial lease of Texas real property to a third party.