TurboTax does not process your taxes, you transmit your return, then TurboTax will send you an email or text letting you know if your taxes were accepted or rejected. If they get accepted, then it is up to the IRS and/or State to process your return.

When you will receive your tax refund, depends on the IRS and State (if you have a state refund)   No one can give you the date or time you will receive your refund, only the IRS can. If you have a state refund, only your state can tell you when they will issue your refund.

The IRS states that nine out of 10 e-filed tax returns with direct deposit will be processed within 21 days of IRS e-file acceptance. Mailed paper returns: If you filed a paper return, please allow 4 weeks before checking the status. Refund processing time is 6 to 8 weeks from the date the IRS receives your tax return.

The IRS expects the earliest EITC/ACTC related refunds to be available in taxpayer bank accounts or debit cards starting February 27,  if these taxpayers chose direct deposit and there are no other issues with their tax return.

You can checked the IRS website Where's My Refund for your information?

https://www.irs.gov/refunds

If you have a State refund, click on the following link, then click on your State

https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571

If you cannot find any information about your return or refund, you should check to make sure your e-filed returns were accepted.

You can check the status of your e-filed returns. 

How do I check my e-file status?

https://ttlc.intuit.com/community/return-status/help/how-do-i-check-my-e-file-status/00/25538