My husband has child support arrears. Will domestics take my tax credit?

My husband and I are purchasing our first home. His name will not be on the title or deed. We do file jointly. Neither of us has ever owned a home, so I know we can file for the full $8000. However, he is unemployed and has some child support arrears. Will domestics take the portion he owes from the tax credit? I had filed an 'injured spouse' form with my taxes this year, form 8379 i believe. Since the house is in my name, will i get my money back? They already took his taxes to go toward the back child support. Any helpful answer is appreciated. If you need more info, let me know