Yes you need to wait a lot longer.
Waiting and not knowing the status of your tax return and refund can be frustrating.
Unfortunately TurboTax gets no information about the status of your refund.
In normal times, the IRS says that most filers get their refunds within 21 days from the time their tax return is accepted.
Many returns are taking longer now since the IRS did not process returns for a while and there is now a big backlog of unprocessed returns.
In a press report on June 8, the IRS said regional offices remain closed due to Covid-19 concerns. Until those offices open, mailed returns will not be processed.
They are now taking phone calls with a limited staff but it's hard to get through.
If you efiled your return, have you confirmed that the return was submitted by TurboTax and accepted by the IRS?
If accepted, what does the IRS tracking web site say about the status of your refund?
If you mailed your return, you must print and mail it yourself. TurboTax does not mail it for you. You will not be able to start tracking your return until the IRS starts processing it.
Here is an IRS Q&A with information about refunds:
The IRS had not processed ANY mail for the last 10 weeks because of COVID-19.
See this IRS article for the latest news (updated June 10):
Paper Tax Returns: All taxpayers should file electronically through their tax preparer, tax software provider or IRS Free File if possible. The IRS is not currently able to process individual paper tax returns. If you already have filed via paper but it has not yet been processed, do not file a second tax return or write to the IRS to inquire about the status of your return or your Economic Impact Payment. Paper returns will be processed once processing centers are able to reopen. This year, more than 90% of taxpayers have filed electronically.