your private insurance should pay you up to the final date at least and you can choose to continue use the COBRA or not (with a premium that you can pay out of your own pocket). I think it is coming with the insurance benefit. This is the reason I told you not to sign any exit document. if your injury is due to the current job, then you have your chance to ask the company to pay for the related fund. I am not a lawyer, I believe they can help you on this situation.