The real answer to this question can only come after a proven vaccine has been developed and we know its characteristics.
However, with most communicable diseases, immune (vaccinated) people can still be carriers. So, my assumed answer to this question will be "Yes."
The answer is probably yes. Remember, the vaccine is to protect you primarily until we get 70% or more immunized. The mask protects others. You can still get infected after the vaccine. The vaccine will make infections less severe and less likely but will not lower the risk to zero.
I personally would recommend a mask during flu season from this point forward. We are in the process of mandating people stay home when they are ill.