Does Enrolling in Medicare Trigger an Offer of COBRA? Gallery Does Enrolling in Medicare Trigger an Offer of COBRA? Sandeep Kumar2022-11-11T03:00:07-04:00 No, enrolling in Medicare does not cause COBRA to start. [...] Does Enrolling in Medicare Trigger an Offer of COBRA?Sandeep Kumar2022-11-11T03:00:07-04:00