After you file

TurboTax uses averages.   Go by the IRS "Where's My Refund" tool.  And it may not be instantaneous, since ACH transactions can take up to 3 days.

Also, did you have any TurboTax fees that you chose to pay out of the Federal refund?   If so, the funds will go first from the IRS to the intermediary bank where the fees are subtracted.   If you did use that service, we can tell you how to monitor the refund at the level of the intermediary company.