Health officials say that without the flu vaccination youngsters are more likely to contract the virus at nursery or school and spread it at a rapid rate.
The NHS warns this could pose a particular risk to the elderly and other vulnerable groups who come into contact with children at family get-togethers over the festive season.
Older people, asthma sufferers, pregnant women and people with heart, liver or lung complaints, are particularly vulnerable to flu, which causes around 8,000 deaths a year.
Doctors are appealing for parents to take up the free flu vaccination for children to curb infection over the Christmas holidays.
Professor Keith Willett, NHS England's medical director for acute care, said: "Flu can be spread more easily by children, especially to vulnerable relatives such as older grandparents, those with heart or lung conditions and pregnant family members.
"With less than a month until family gatherings over the festive season, there's still time for parents to get their 'super-spreader' children vaccinated to help protect elderly relatives over Christmas and before the flu season traditionally reaches its peak."
Free flu vaccinations have been expanded to cover children in school year four, but just 18% of school-age children have had the nasal spray immunisation, according to the latest figures.
NHS England and Public Health England (PHE) are also urging hundreds of thousands of front-line social care workers to get vaccinated, with the NHS providing Â£10 million to help curb the spread of flu to elderly people in their care.
PHE medical director Dr Paul Cosford said: "The vaccine is the best protection there is against flu, which causes on average 8,000 deaths a year, many of which occur in the winter months.
"The nasal spray vaccine last year reduced children's risk of flu by 65% meaning they were less likely to spread it to relatives and others they come into close contact with.
"Over the next few weeks ahead of Christmas, we urge parents of eligible children aged two and three to book their vaccine via their GP or local pharmacy.
"Parents should also give consent for eligible school-aged children to receive the vaccine in school.
"It's quick, easy and painless."