The tax software you used to prepare your tax return is not a factor in how soon you will receive that extra refund. They are starting on the easier ones and working their way though them to more complex returns.
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.
https://ttlc.intuit.com/community/tax-topics/help/how-do-i-get-the-new-unemployment-benefits-if-i-ve...
Please read this very recent news from the IRS:
https://www.irs.gov/newsroom/irs-to-recalculate-taxes-on-unemployment-benefits-refunds-to-start-in-m...
https://www.irs.gov/newsroom/irs-begins-correcting-tax-returns-for-unemployment-compensation-income-...
https://ttlc.intuit.com/community/tax-credits-and-deductions/help/am-i-eligible-for-a-new-credit-or-...
https://www.irs.gov/newsroom/2020-unemployment-compensation-exclusion-faqs
https://www.irs.gov/faqs/irs-procedures/forms-publications/new-exclusion-of-up-to-10200-of-unemploym...
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
