You do not say why your state refund was offset. TurboTax never knows about offsets to your federal or state refund so no one at TT can tell you if the IRS is going to offset your federal refund.
https://www.irs.gov/uac/tax-refund-offsets-pay-unpaid-debts
https://ttlc.intuit.com/community/refunds/help/what-is-a-refund-offset/00/26301
Reduced Refund https://www.irs.gov/taxtopics/tc203
NOTE: You can contact the IRS Treasury Offset Program Call Center at 1-800-304-3107 to ask if they have an offset for you on file. TurboTax would not have that information.
https://turbotax.intuit.com/tax-tips/tax-payments/who-can-garnish-an-income-tax-refund/L7cPPzDyc
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
