Does my Michigan refund for 2018 while I worked there, but lived in Illinois count as additional federal income for 2019 taxes even though I owed the amount to Illinois?

I kept my residence and family in Illinois for 2018, but worked in Michigan. I owed no state tax to Michigan because of an agreement with Illinois. But I owed the entire amount (plus a little) to Illinois, so I infact did not get to keep my "refund". But that option does not seem to be a part of the turbo tax questions. Does that refund count as federal income, because I did not get to keep it. Thanks