Influenza Season Vaccinated Against Influenza. Does Baby Get Any Immunity From My Vaccine, Being Breast Fed?

Vaccinated against influenza. Does baby get any immunity from my vaccine, being breast fed? - influenza season

I have been vaccinated against the flu just before the winter season (Australia). I breast-feed my baby, for one year) (request brats. My baby in some form of immunity? I have a house full of children who have the flu and I'm waiting for my baby, gained a certain immunity from my vaccine.