Your Medicare Supplement (Medigap) Open Enrollment Period starts the first month you have Medicare Part B and you are age 65 or older. However, you can shop for a Medigap plan with a licensed agent at Senior Healthcare Direct as soon as you get your Medicare card. Then we can help you find the right plan and lock-in the monthly premium rate before your 65th birthday. Call 1-833-463-3262 or get a quote.