A Minnesota sublease agreement details the terms of a sublet arrangement between a current tenant (sublessor) and a third party (sublessee). A sublet, or sublease agreement, adds someone new to an existing lease.Sublease Agreement A sublease agreement allows the tenant to rent out a portion or all of the rental space to a sublessee. This publication describes what the law requires of both landlords and tenants and also describes some terms that are in typical leases. Edit, sign, and share Application for Sublease - Minnesota online. No need to install software, just go to DocHub, and sign up instantly and for free. This agreement is to sublet real property according to the terms specified below. Create a sublease agreement to legally sublet your property. Our sublease contract template allows a tenant to rent a unit to a subtenant. The subtenant is responsible for following the terms and conditions of the sublease and the original lease.