No, Extra Help does not cover your Part B premiums. Extra Help only provides assistance with costs related to your Part D drug plan. If you need help with your Part B premium, you should attempt to qualify for a Medicare Savings Program. These programs help with Part A and Part B premiums as well as copays, deductibles, and coinsurance amounts. These savings programs are administered at the state level, so you should contact your state office to see if you qualify.