Probably not. Most people are not able to have both an employer health plan that includes prescription coverage and a separate Medicare Part D prescription drug plan.
In fact, if you have prescription coverage through your employer health plan, and you enroll in a Medicare Part D plan, you actually risk losing all of your employer health coverage.
Important: Before enrolling in a stand-alone Medicare Part D prescription drug plan (PDP) or Medicare Advantage plan that includes prescription drug coverage (MAPD), be sure to contact your employer health plan administrator for further information.
You can click on the following link to read more about “creditable” vs. “non-creditable” prescription drug coverage and employer coverage: