Apartments almost always do credit checks before they lease out an apartment. I say "almost always" because it's up to the apartment management.This group helps to find rooms, roommates and apartments in Chicago, Illinois, USA. Landlords can't unreasonably refuse sublease requests. Reasons like poor credit or past evictions can be considered. I know this is short notice but I was put in a bad situation and am looking to sublease an apartment in the northern Chicago city area. Here are a few great resources that make checking a potential tenant's credit and criminal background check quick and easy. Here are a few great resources that make checking a potential tenant's credit and criminal background check quick and easy. Illinois tenants are generally allowed to sublet, unless their lease specifically prohibits it. Learn about the rights and responsibilities of renters and landlords under Chicago law and learn about valuable resources to promote housing stability.