The IRS started issuing the tax refund for the unemployment compensation exclusion in May and will continue sending the refunds throughout the summer months.
Go to these IRS websites for information -
The IRS began to send out the additional refund checks for tax withheld from unemployment in May. If you are eligible for the extra refund for federal tax that was withheld from your unemployment the IRS will be sending you an additional refund sometime during the next several months. TurboTax cannot track or predict when it will be sent. The IRS has not provided a way for you to track it, so all you can do is wait for the refund to arrive.
Please read this very recent news from the IRS:
You *might* need to amend your state return for unemployment that was taxed by your state.