The public charge ground of inadmissibility does apply to winners of the diversity visa lottery, but they need not have an I-864 filled out on their behalf. The "Affidavit of Support" is a signed document to accept financial responsibility for a family member who is seeking a green card.Need help to fill out your Affidavit of Support? Call Immigration attorney Vinogradsky routinely helps with I-864 Form. Completing and signing Form I-864 makes you the sponsor. Having a U.S.-Based Sponsor Sign Form I-134 Affidavit of Support. Can I save the form online so that I can fill out part and then come back later and complete the remainder? No, this cannot be done. Particular advice for visitor, K1, and diversity visa applicants, and; tips on filling out the form and preparing supporting documentation. INS previously used an I-134 affidavit of support for people who sponsored a family member.