It depends on how long it takes the funds to travel from the IRS to the intermediary bank and also on whether all goes smoothly or whether there is any delay at the intermediary bank.  I'll leave you info below on how that process works and how to check on your funds at the level of the intermediary bank.

If you chose to pay your TurboTax fees out of your Federal refund, your funds will first go to a temporary account at an intermediary bank--either Civista Bank of Sandusky, Ohio, or Green Dot Bank.  At the intermediary bank the fees are subtracted, then the rest of your funds are sent on to your bank in a second deposit.  The company that handles that is SBTPG (Santa Barbara Tax Products Group.)

Once the intermediary bank receives the funds from the IRS it normally just takes a day or two to get to your bank, but also depends on your own bank's processing times.    Less commonly there can be delays at the intermediary bank, and additional ID info, etc. might be required.

If for any reason the second deposit fails (the one that is actually to your bank), it will bounce back to SBTPG's bank who will issue you a paper check in the mail.

Once the IRS has released your funds, you can log into your temporary account at SBTPG to monitor the status of your funds.

Choose the taxpayer portal at:
https://cisc.sbtpg.com

SBTPG also has a 24-hour automated phone line about your refund, as well as live support during the day.   Here is the contact page.  Scroll down to see the Live Support number and 24-hour automated support number.

https://help.sbtpg.com/hc/en-us/articles/230084587-Contact-Information