TurboTax has no idea when the IRS recalculates your tax return for the unemployment exclusion. The IRS does not give TurboTax any information about it. You will get the refund from the IRS, and some time later you will get a letter from the IRS. The IRS has not provided any way to check the status of the recalculation.
The IRS is not going to actually fix or update your tax return. They just calculate how much you should get back and send you the refund.
