A Minnesota sublease agreement details the terms of a sublet arrangement between a current tenant (sublessor) and a third party (sublessee). A sublease agreement is a rental contract used for rerenting a currently leased unit to a new tenant.Create your Minnesota sublease agreement, and sublet your property. Rent your unit to a subtenant and use our free template. A sublease agreement is considered a written document that offers the lessee a chance to pass on the responsibility and rights of tenancy to another person. To start, you can explicitly address subleasing in the original lease agreement. Writing a sublease agreement. Here's a sample letter for when you give notice on your rental. Create an effective Minnesota sublease agreement with a free and customizable template. Fill, edit, send, and save this document as a PDF for safekeeping.