The Inner North Medical Clinic in Brunswick currently has an allocation of 300 doses per fortnight.
Dr Shea Wilcox said the current demand means it is using its entire fortnight supply in a single day.
The undersupply has forced the clinic to turn away thousands of residents seeking the vaccine since the outbreak began.
âOur books are overflowing with people trying to get the vaccine that we donât have doses for. The vaccine supply is still a really critical problem for us,â he said.
Wilcox told the Guardian that the undersupply was so severe that it was forced to turn away two local supported living facilities.