I got a letter from the IRS that I am entitled to additional refund because of the American Rescue Plan. When can I expect this amount to be deposited to my account?

No timetable has been announced. 

The IRS is recalculating refunds for people whose AGI is $150K or below and who filed before the tax law that changed the amount of unemployment that is taxable on a federal return became effective.   

 

 

The IRS began to send out the additional refund checks for tax withheld from unemployment in May.  The refunds are being sent out in batches—starting with the simplest returns first.   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-already-filed-my-taxes/00/2081053

 

 

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-may

 

https://www.irs.gov/newsroom/irs-begins-correcting-tax-returns-for-unemployment-compensation-income-exclusion-periodic-payments-to-be-made-may-through-summer

 

https://ttlc.intuit.com/community/tax-credits-and-deductions/help/am-i-eligible-for-a-new-credit-or-deduction-because-of-the-unemployment-income-exclusion/01/2211778

 

https://www.irs.gov/newsroom/2020-unemployment-compensation-exclusion-faqs