It also appealed to those attending appointments to come alone.
In a statement tonight, the Trust said: “We are taking necessary precautions to protect our patients and staff from Covid-19.
“We are asking the public not to visit patients in our hospitals and community facilities unless absolutely essential.
“Where possible, please attend your appointment on your own.”
The move comes after the Public Health Agency said there was now a total of 16 confirmed Coronavirus cases in the North of Ireland.
In a tweet, the Public Health Agency said that there have been 237 tests carried out in here, of which 221 have been negative.
In the UK, six people have so far died from the virus, mostly elderly people who had underlying health problems.
The British government expects the Coronavirus to peak within the next fortnight.
In the Republic, ten new cases of Covid-19 were confirmed on Tuesday bringing the total to 34.
Speaking after a meeting of the EU Council, Taoiseach Leo Varadkar said leaders agreed their highest priority “must be protecting public health and human life preventing the spread of the virus and working to mitigate its impact on our people”.
“We agreed funding research in Europe to help develop new tests, new treatments and a vaccine as rapidly as possible,” he said.
“We agreed the need for a coordinated approach for the procurement of medicines, medical devices and protective equipments.”
Mr Varadkar said European leaders had also considered the potential economic impact of this crisis which, he said, could be “severe and long lasting”.