A Minnesota sublease agreement is the contract that lets the existing tenant rent all or some of a rental property to the new tenant. Check-in and Check-out Procedures: Original tenants should complete a check-out form and subletters should complete a check-in form.Minnesota law requires written consent from the original landlord for subleasing. This may be part of the initial lease or a separate agreement. Create your Minnesota sublease agreement, and sublet your property. Rent your unit to a subtenant and use our free template. Create an effective Minnesota sublease agreement with a free and customizable template. Fill, edit, send, and save this document as a PDF for safekeeping. Subletting your apartment could help you save money. It also lets you keep your apartment for when you return.