Why did I get a Medicare Part B reimbursement check? Updated Mar 16, 2021; — Retired A. Checks like the one you received are not uncommon. New Jersey pensioners may be entitled to a reimbursement of their Medicare Part B premiums paid depending upon when they were originally hired, when they retired and what department or agency they worked in while employed, said Howard Hook, a certified financial planner and certified public accountant with EKS Associates in Princeton. For example, he said, if you are a retired teacher and otherwise meet the years of service and hire date eligibility requirements, you would receive an amount equal to the standard Medicare Part B monthly premium in your pension check each month.