If you served our country and suffered a serious injury during combat, or developed a debilitating injury or condition after being discharged, you may be tempted to pursue both Social Security and veterans’ disability benefits. It is quite common for veterans to have claims going on simultaneously. You can receive VA disability benefits and Social Security disability insurance (SSDI) benefits at the same time. This is because VA disability benefits are not tethered to income, unlike SSDI insurance claims.