Learn about Medicare plans Texas Department of Insurance sent this bulletin at 10/14/2021 02:06 PM CDT View as webpage Picking the right Medicare plan can be confusing. We have some tips for open enrollment, which runs from October 15 to December 7. Watch video Open enrollment gives people the chance to review and make changes to their coverage. How to avoid Medicare open enrollment scams How to pick the right Medicare plan Do you need Medicare supplement insurance?