Yes, you can receive both concurrently but there could be an offset. The two operate as different programs. Social Security is federal so, with that being said, they do not directly affect each other. However, there is a limit to social security and how much is collected and saved from the average current earnings of an individual or family. If workers’ compensation benefits cause the limit to be exceeded, SSDI will be reduced to stay within the limit, and therefore can be affected by workers’ compensation benefits.
In terms of filing, you can file for both social security disability and workers’ compensation at the same time. However, your chances of receiving Social Security Disability will depend on the severity of the injury. You will only receive benefits for both if you qualify for SSDI and workers’ compensation. It is very rare that your workers’ compensation settlement will affect your SSDI payments but it can happen.