No - You will not owe any taxes in IL if you are a WI resident and you worked in IL for part of the year. WI and IL have a reciprocal agreement related to wage income. Just report all income (including your IL-sourced income on your WI resident state income tax return.
Just make sure to selected "no" to "
Did you make money in any other states?" under the Personal Information
section in TurboTax and then delete the IL state return under the state taxes tab.