He also stressed that most of those affected abroad are making a good recovery.
The official death toll in China has risen to 26, with more than 830 confirmed cases.
GPs in the UK have now been told to place suspected victims in isolation.
Five patients were in Scotland and a sixth in Belfast. Most were thought to be returning Chinese students.
Medical staffs sterilize the main building of Jinyintan Hospital
Getty Images
Health Secretary Matt Hancock said the risk to the UK public from the coronavirus “remains low” after chairing a Cobra committee meeting in Whitehall.
Exiting the Cabinet Office, Mr Hancock said: “We have just held a Cobra meeting on the coronavirus concerns.
“As I made clear to the House yesterday, the clinical advice is that the risk to the public remains low and the chief medical officer will be making a full statement later today.”
He did not answer any questions before entering his ministerial car.
An advisory sign hangs on the door of the health centre in Ivalo, Finland
via REUTERS
Chinese authorities have imposed lockdowns on at least 10 cities near Wuhan, where the virus is believed to have originated, effectively putting 33 million people into quarantine. Sections of the Great Wall of China and Disneyland in Shanghai were also shut.
The authorities also rushed to build a hospital to treat victims. There are fears of a rise in infections as millions travel to celebrate New Year.
Mayor Sadiq Khan was asked last night by a Chinese student about London’s preparations, and said: “There is no reason to be alarmed.”
He added he had been in touch with Public Health England yesterday and had been told “there are no cases in London”.
Mr Khan said Chinese New Year celebrations would continue as planned in Trafalgar Square on Sunday.
“We will keep an eye on what happens in Wuhan to make sure we are ready if, God forbid, this virus comes to our country,” he said.
Guy’s and St Thomas’ NHS trust, which will take the lead if patients are diagnosed with coronavirus in London, said: “We are one of a network of centres in England which take patients with high consequence infectious diseases.”