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 refund hold and processing delay.
The where's my refund website will give you a date that the refund is sent. But there isn't a way to tell when your refund will reach your account. If you are receiving a paper check there is not any sort of tracking number either. The only information you can get is the date they will send the refund.