If you're continuing your employer health coverage through COBRA and you become eligible for Medicare, it's important for you to sign up for Medicare during your Medicare eligibility period.
Here's why: Health insurers generally include language in their policies that says they can refuse to pay bills if they find out that you stayed on COBRA coverage after you were eligible for Medicare.
A lot of consumers get caught in this trap. Many people who are on COBRA don't know that they should sign up for Medicare when they become eligible. Instead, they assume that COBRA will continue to pay their medical bills, so they delaying signing up for Medicare until their COBRA coverage ends.
Then, months after becoming eligible for Medicare, they find out that their COBRA plan is refusing to pay for medical care that the consumer already received. They can't backdate their Medicare enrollment, so they're stuck with those medical bills. Yikes.
Don't get caught in this trap. If you're on COBRA and become eligible for Medicare, sign up.