Yes. When you join a Medicare Advantage plan, you must continue to pay your Medicare Part B premium if not otherwise paid for by Medicaid or another third party. If you meet certain eligibility requirements for both Medicare and Medicaid, your Part B premium may be covered in full. Some Medicare Advantage Plans reduce the Medicare Part B premium. The reduction is set up by Medicare and administered through the Social Security Administration (SSA). Depending on how you pay your Medicare Part B premium, your reduction may be credited to your Social Security check or credited on your Medicare Part B premium statement. Reductions may take several months to be issued. However, you will receive a full credit.