When will the IRS accept my return I know they started accepting returns today?

[DoninGA]

TurboTax has not way to know when or if the e-filed tax return will be accepted by the IRS.

After completing the File section and e-filing your tax return you will receive two emails from TurboTax. The first email when your tax return was transmitted and the second email when the tax return has either been accepted or rejected.

[SweetieJean]

The key word is "started."  It will take the IRS a few days to pull in all the returns sitting in the queue.