I talked to my neurologist before I talked to the PCP. Since the neuro said it was ok, I did both. I've had the flu shot every year except for last year, just because I forgot

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The pneumovax was a new one to me. I hadn't had it before, but since I work with an at risk population in my job, it's been suggested before and I finally took the needle. I'm worse when I am ill than when I am well!
It never got red, it never itched, it just HURT! It's still tender to the touch, but the swelling has gone down and I can sleep on that arm/shoulder again. The doc did tell me that the life of the vax is thought to be 9-10 years and that it may prove out to be longer, so I may well never have to have it again!
Since both the flu shot and the pneumovax are NOT live virus, it is ok to have both of them according to my neuro and the PCP. They both said the Flu-mist was NOT ok to have with Tysabri, since it is a live virus.
Talk to your doc/neuro if you have questions or concerns about either.