The IRS has not given TurboTax any official guidance as to when stimulus payments for every taxpayer will be released. As long as you provided your direct deposit information/card information or mailing address information, you will receive the stimulus when it is released to you (as long as you otherwise qualify for it).
The IRS rolled out the "Get My Payment" tool here. According to IRS.gov, you can use the "Get My Payment" application to:
According to the IRS FAQs:
Get My Payment will display one of the following payment statuses:
1. Payment Status (one of two statuses) –
2. Need More Information – You are eligible for a payment, but we do not have your direct deposit information. You will be given the opportunity to provide your bank information once you have properly verified your identity. Direct Deposit is the fastest way to get your EIP.
3. Payment Status Not Available – We cannot determine your eligibility for a payment at this time. For example, you didn’t file either a 2018 or 2019 tax return, or you recently filed and the return has not been fully processed.
If a payment date is not provided, updates to your payment status are made no more than once per day.