More than 14,000 Cantabrians have so far received the flu injection this year.
Canterbury District Health Board executive director of planning, funding and decision support Carolyn Gullery said the demand has put pressure on the vaccine with some practices and pharmacies out of stock.
"Work is under way to get more vaccine out to practices and pharmacies as quickly as possible," she said.
People with chronic health conditions, pregnant women, health workers and those above 65-years-old will continue to be prioritised for the flu vaccine until April 13.
"After this date anyone can receive the vaccination."