Can I Have Medicare And HDHP? 
Normally , once you go on Medicare you can no longer keep your HDHP -LRB- high deductible health plan -RRB- because you generally can not have other health insurance along with an HDHP . However , Medicare Advantage plans allow for the creation of a Medicare Medical Savings Account -LRB- MSA -RRB- . Like HSA 's , MSA 's are comprised o a HDHP along with the MSA . This HDHP is a Medicare Advantage Plan with a high annual deductible . 