Twelve patients treated by two British GPs with coronavirus are being traced, the BBC understands.
One worked in A&E at Worthing Hospital in West Sussex and the other is a Brighton GP – they are two of the eight UK cases.
Between them, they worked at four different places, including a nursing home, A&E and two GP practices.
Worthing Hospital continues to operate as normal, a Department of Health spokeswoman said.
It comes after three medical centres were closed in Brighton for precautionary deep cleaning.
The World Health Organization has named the disease that the virus causes Covid-19.
Public Health England is contacting the small number of patients seen by the GP who worked a shift in A&E, who has since followed advice to self-isolate.
The doctor is the second confirmed healthcare worker to test positive for the virus, after Brighton GP Catriona Greenwood contracted it at a chalet in a French ski resort.
Dr Greenwood is one of 11 people thought to have been infected by Steve Walsh, from Hove, who caught the virus in Singapore before staying at the chalet in France.
Speaking out for the first time on Tuesday, Mr Walsh said he had “fully recovered” from the virus but remained in quarantine.
On Monday, the government issued new powers in England to keep people in quarantine to stop the virus spreading.
Under the Department of Health measures, people will not be free to leave quarantine and can be forcibly sent into isolation if they pose a threat.
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As of Tuesday evening, a total of 1,358 people have been tested for coronavirus in the UK, of which eight were confirmed positive.
The first two confirmed cases in the UK were a student at the University of York and a relative. They tested positive after being taken ill at a hotel in York.
What are the symptoms of coronavirus and what can help stop its spread?
The main signs of infection are fever (high temperature) and a cough as well as shortness of breath and breathing difficulties.
Frequent hand washing with soap or gel, avoiding close contact with people who are ill and not touching your eyes, nose and mouth with unwashed hands, can help cut the risk of infection.
Catching coughs and sneezes in a tissue, binning it and washing your hands can minimise the risk of spreading disease.
Anyone experiencing symptoms, even if mild, after travelling from mainland China, Thailand, Japan, Republic of Korea, Hong Kong, Taiwan, Singapore, Malaysia or Macau, is advised to stay indoors and call the NHS 111 phone service.
Patcham Nursing Home in Brighton confirmed on Tuesday that it had “closed to all visitors” as a precaution after an infected doctor visited a patient there.
Another branch of the County Oak medical centre in Brighton – less than two miles away in Deneway – was also closed on Tuesday, along with the Haven Practice in Brighton.
All three surgeries are expected to reopen on Wednesday after deep cleaning.
The BBC understands that two prisoners on a wing at HMP Bullingdon in Oxfordshire have been tested for the coronavirus after falling ill. One of them, a remand prisoner, had recently returned to the UK from Thailand.
There have now been more than 40,000 cases of the new coronavirus worldwide, which has been declared a global health emergency. The death toll in China stands at 1,016.
On Wednesday morning 39 more cases of the virus were confirmed on board a cruise ship in the Japanese port of Yokohama, with 3,700 passengers and crew on board.
It brings the total number of cases among passengers of the Diamond Princess to 174, the BBC’s Tokyo correspondent Rupert Wingfield-Hayes said.
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