If I have an offset due to owing a small amount in state taxes but I am recieving both a state and federal refund this year, will this delay both of my refunds? Or will they likely take the debt from

It's possible that both refunds could be delayed, but the federal refund might post without delay if your state debt is satisfied by your state refund.

Please see the TurboTax article "Who Can Garnish an Income Tax Refund?" for additional information.