Support our Services to Veterans Caregivers Act or the S.O.S. Veterans Caregivers Act This bill expands eligibility for assistance under the Department of Veterans Affairs Program of Comprehensive Assistance for Family Caregivers. Specifically, the bill expands eligibility for such assistance to caregivers of veterans who have a serious illness that was incurred or aggravated during active military, naval, or air service. Under current law, such assistance is already provided to caregivers of veterans who sustained serious injuries in the course of their military, naval, or air service. The bill also requires the provision of an annual multidimensional assessment to measure burdens felt by family caregivers who are designated as the primary providers of personal care services to such veterans.