After you file

You are OK.  The IL site

http://tax.illinois.gov/MyTax/IL-1040-X.htm

states:

Do I need to file Form IL-1040-X?

You should file Form IL-1040-X, Amended Individual Income Tax Return if

  • you discover that you made an error on your Illinois return after it was filed; or
  • you filed a U.S. 1040X or the Internal Revenue Service (IRS) adjusted your federal return and the change affects your Illinois return.

NOTE: If the federal change results in a refund, do not file Form IL-1040-X until you receive notification that your change has been accepted by the IRS.

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So just sit back and if IL asks, you simply explain there was no change to the tax due.