If you already paid the balance due but the unemployment corrections will reduce the taxes owed then when the IRS eventually recalculates the return they will take the payment you already made into consideration. All you can do is wait for the IRS to send you the refund.
If you did not make a payment since you will now get a refund instead of owing then the IRS most likely send you a balance due letter that you can ignore since you know you will not owe anything in the end. Calling the number on the notice or mailing back a response would not be inappropriate.
