You don't need to report it on your tax return if you don't receive the form 1099-G.
What may happen is that you file your tax return and then receive the form 1099-G afterwards. If that happens, you may receive a notice from the IRS sometime later requesting you pay tax on the unemployment, but all you need to do is correspond with them and explain what happened and they will reverse the charge.
You should keep a copy of the check you used to pay the unemployment back so you can send it to the IRS if necessary to prove that you repaid it.
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