Yes! SSA will explore eligibility for SSDI for any adult applying for SSI benefits. The application is quick, easy and online. You will complete the SSDI application (called the Online Disability Benefit Application) when you are online completing the Online Adult Disability Report. It comes first in the process and is your way to help set the protective filing date for SSI. The applicant may get a denial letter for SSDI pretty quickly in the process. Do not despair, DDS will still be processing the medical decision and the SSI application will still be pending, despite that denial letter for SSDI.