If I already have a social security number, will USCIS issue me a new one for my green card? No, USCIS will not issue a new social security number if the applicant has already been issued one. Related articles Do I need a wet signature for my joint sponsor when applying for Adjustment of Status? What if I don’t have my transcript, just a diploma? If I am applying for a marriage-based green card outside the United States, can I apply for a Social Security number? Can I travel outside the United States with my existing travel/work combo card, while my renewal applications are pending? How do I renew my work permit?