High numbers of youngsters are suffering from swine flu
Swine flu vaccinations of people in the priority at risk group is complete in many parts of Suffolk.
GPs are now being urged now to concentrate on children between the ages of six months and five years.
The programme will accelerate in the new year after agreement was reached to support surgeries, NHS Suffolk said.
This age group is the next priority because high numbers of under fives have been admitted to hospital after falling ill with swine flu.
"Swine flu has had less public attention recently, but it is still a major threat to public health," NHS Suffolk's Dr Brian Keeble said.
"Young children are still very much at risk, and when they are infected some suffer severely, so this vaccination programme for the under fives is very important.
"Having your child vaccinated greatly improves his or her protection from the disease, but also helps to make it less likely the illness will be spread between children."