Who sent you the email, TurboTax or the IRS?
TurboTax does not receive any updates from the IRS once they have accepted your return. You can track your refund with the IRS Where’s My Refund link https://www.irs.gov/refunds/
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If you used the refund processing service to have the TT fees withheld from the federal refund then the third party processing bank gets notice from the IRS of the pending deposit so they send an email notice to you ... confirm this by checking on the IRS site to see if the refund has been approved and when it has actually been sent : https://www.irs.gov/refunds