Will I receive a notice if my husbands tax refund is offset for a debt incurred during my first marriage?

I owe the state of arizona some money from my previous divorce (ex got cash istance, I have to pay it back) Will we receive a notice if his taxes are offset for this debt? The good thing is I have a really loving husband and he says he doesn't mind as long as my debt is paid. But I'm wondering..will we receive a notice? I didn't work, and we filed jointly