How long till my refund is deposited after it states refund received?

When you receive a notification from TurboTax that your return has been “Accepted” it means that the IRS has accepted it for processing. It does not mean that it has been processed yet, just that is complete and accurate for them to start working on processing your return. You might also get a message for estimated processing time. This is just an estimate, since TurboTax has no control over when the IRS or any state will process your return, once they have been “accepted” by them.
 

The IRS issues most refunds within 21 days, assuming that there is no delay and nothing is holding your return. Some returns are subject to an automatic hold due to the Path Act when certain credits are claimed. 

The (PATH Act) prevents the IRS from issuing early refunds (before mid-February) on any tax return that claims the Earned Income Tax Credit (EIC) and/or Additional Child Tax Credit. You can expect your refund by "March 3rd" assuming that there is no hold or other issues with your return. For more information click on the link below

When will I get my refund if I claimed the Earned Income Tax Credit or Additional Child Tax Credit?

You can also monitor your refund status by clicking on the link below 

To track your Federal Refund 

Where's my Refund

To track your State Refund 

How do I track my state's refund?

For refund deposit date, always go by the actual date provided on the IRS website as we have no control over your return once the IRS has accepted it for processing. The IRS website have the most accurate and up to date information. It gets updated once a day. If you have any inquiries regarding any refund delay, you should contact the IRS or your state Department of revenue directly.