You would have to contact your state tax department to get an answer to that. Here is a link to help you find it: https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571
To check the status of an e-filed return, open up your desktop product or log into your TurboTax Online Account. You can find your status within the TurboTax product.
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund