Travellers, particularly at risk, include anyone who travelled north of Pisa.
The government has asked those who visited this region to stay home for 14 days if they develop flu-like symptoms.
Roughly three million Britons visit Italy each year and typically most visits are free of any trouble.
However, with the recent outbreak of coronavirus, which has now killed 12 people in Italy, the government has issued special advice banning Britons from visiting certain areas of Italy.
On Wednesday morning, Italian authorities confirmed a 12th person had died from coronavirus in northern Italy.