Clarify private housing applications and lease requirements, and discover safety tips for finding legitimate rentals. In Illinois, tenants generally have the right to sublease their apartment or rental unit unless expressly forbidden in their lease agreement.If you are looking to sublease your apartment, please list your apartment below, and consider sharing to the Illinois State University Facebook Groups. You can find the subleasing paperwork under "On Campus Forms. " The paperwork needed is listed under "On Campus Sublease Packet." If you are the current resident, make sure your Sublessee(s) fill out an Online Leasing Application. Chicago law requires landlords to allow tenants to sublease their apartments if requested. Here's what else you need to know about subleasing in Chicago. Specify Sublease Terms: Clearly outline the duration of the sublease, including the start and end dates. Looking to sublease your apartment?