https://turbotax.intuit.com/tax-tools/efile-status-lookup/
TurboTax gives you an estimated date for receiving your refund based on a 21 day average from your date of acceptance, but it can take longer.
Once your federal return has been accepted by the IRS, only the IRS has any control. TurboTax does not receive any updates from the IRS. Your ONLY source of information about your refund now is the IRS.
You need your filing status, your Social Security number and the exact amount (line 20 of your Form 1040) of your federal refund to track your Federal refund:
To track your state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
On the IRS site you are also offered the use of an app called IRS2Go
https://ttlc.intuit.com/questions/1901548-why-do-some-refunds-take-longer-than-others
If you chose to have your TurboTax fees deducted from your federal refund, that will take some extra time, while the third party bank handles the refund processing.
https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions
https://ttlc.intuit.com/questions/2840013-does-accepted-mean-my-refund-is-approved
You'll need to track the status of your refund for updates and the IRS only posts estimates, TurboTax does not receive updates from the IRS once they have accepted your return. According to the IRS website What to expect for Refunds This Year more than 9 out of 10 refunds are issued in less than 21 days after the IRS accepts the tax return when you e-file and choose direct deposit as your refund choice.
Where’s My Refund? has the most up to date information available about your refund. The tool is updated daily (usually overnight) so you will just usually need to check once a day.
For more on the timing of your refund please see this TurboTax FAQ.
If you are anticipating a state tax return refund those processing times vary from state to state. To check on a state refund please visit your state Department of Revenue website.