US DOL Info#990099 Q: My ex husband was ordered to pay my cobra for 3 years because I was unemployed at the time of our divorce. I now have a job where I am eligible for medical insurance. Can I continue to keep my cobra? US DOL Info#990099 A: Cobra is an option for you. You can use your COBRA for up to 36 months is the event of divorce. You will not be able to have double coverage with COBRA and the new employer both. You do not have to take advantage of the employer’s new group plan until the COBRA is exhausted. Check with your employer to see if you will be able to enroll with their plan at any time or if there are specific open enrollment times. That answer may determine which plan you will be able to use at what times.