NHS recommendations are for all youngsters aged six months to five years to be given daily vitamin drops, but parents have to pay for them unless they are part of the free Healthy Start programme.
Evidence suggests take-up of the vitamins is low among poorer families but even children in better-off families may not be not getting enough.
The Nice review comes as Professor Davies published a report on children's health, detailing the need to invest in young people.
It said reducing obesity by one percentage point in children could save the NHS £1 billion a year due to fewer long-term health problems.
More top news
Scotty Moore was the last surviving member of the rock combo that included Presley, producer Sam Phillips and bassist Bill Black.
Sex and drugs are off limits for undercover police, official guidelines published for the first time state.
Nicola Sturgeon will hold talks with European Parliament president Martin Schulz in Brussels today.