Will I get my state refund soon?
Nobody at TurboTax or in this public forum can answer that question with any definity. Once the IRS (and the state if applicable) have accepted your e-filed tax return, TurboTax as fullfilled their obligation you paid them for. Any further communication concerning the status of your e-filed and accepted return can only be between the tax filer and the taxing authority directly.
For your federal tax return, you can see the status online at https://www.irs.gov/refunds
For state tax refunds, see How do I track my state refund? (intuit.com) and follow the link and guidance for your specific state.
