No one can know anything specific about your state refund. Only the state tax
agency knows what all they are doing with your return. There are too
many variables, including 40 different state tax agencies, each doing
their own thing.
If you efiled, you can double-check with this tool to be sure the state return was efiled successfully and accepted:
https://shop.turbotax.intuit.com/efile/efile_status_lookup.jsp
Your
state tax website may have a FAQ section stating what to expect for
refunds, such as how long it usually takes in your state, when to
contact them, etc.
Here's how to track a state refund:
https://ttlc.intuit.com/replies/3300211
