The best way to get an accurate direct deposit date is to use the Where's My Refund tool on the IRS website.
To track your Federal refund, visit the Where’s My Federal Refund? site here: https://www.irs.gov/refunds. Updates are made daily, usually overnight. You may also download the IRS2Go app to check your Federal refund status. You can track the status of your state return by following the directions in the following TurboTax FAQ.
https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571
You will need your social security number, filing status, and refund amount in order to track your refund.
Note: The IRS expects to issue most refunds in less than 21 days after being accepted. Taxpayers who claim the Earned Income Tax Credit (EITC) or the Additional Child Tax Credit (ACTC) will experience a processing delay.