Once your return is accepted for processing by the IRS and/or state, TurboTax has no control over the processing of your return or the release of your refund.
If you have any inquiries regarding any delay, you should contact your state Department of revenue directly for further assistance.
Remember that state tax agencies aren't the IRS. Some of them take longer, especially if they are still looking at your tax return.
You should keep monitoring your state refunds on the next site:
How do I track my state's refund?