A statement from the trust read: "Sadly, we can confirm that an older patient with underlying health conditions has died".
The UK has seen its first death related to the coronavirus.
Nobody has died in the United Kingdom from coronavirus but a British man who had been aboard the cruise ship the Diamond Princess died from the illness last week. More than 98,000 people have diagnosed with the illness, which has killed nearly 3,400.
Covid-19 test kits are being flown out to the ship and will be analysed at a laboratory in San Francisco.
United Kingdom cases will keep rising and infections are taking place between Britons, Chief Medical Officer Chris Whitty said today.
A patient at Milton Keynes Hospital is believed to have become the second person in the United Kingdom to die after contracting coronavirus.
Last week, a British tourist who had been on board the Diamond Princess cruise ship, which was quarantined in Japan, became the first United Kingdom citizen to die from the virus.
"We have moved from a situation where we are mainly in contain, with some delay built in, to we are now mainly delay", he said, although elements of the contain process were remaining in place.
'Anybody who needs hospitalisation will be hospitalised in a specialist centre as needed'.
The Chief Medical Officer says the United Kingdom is preparing to move from the "contain" into the "delay phase" of dealing with the outbreak.
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Prime Minister Johnson has maintained that it was as yet too early to roll out contingency planning such as putting limitations on public gatherings or cancelling sporting events, saying, "you can't fire your shots too early".
He said: "The government has supplies of the key things that are needed".
Meanwhile, UK health authorities have admitted the virus has not been contained in the country and are now focusing on delaying the spread of the virus until the seasonal pressures on the NHS ease up.
The scientific advice is that "we may not be able to contain the virus forever, especially if the number of cases continues to rise in Europe", said British Health Secretary Matt Hancock.
"Or do you try to keep as much normal life as possible and tackle it by finding those who do come in to the country".
Older people are most at risk of dying from the COVID-19 disease because they have weaker immune systems owing to natural decline as they age.
Meanwhile, Government advice was updated to urge people who have returned to the United Kingdom in the past fortnight from any part of Italy - rather than just the northern regions - to call 111 or self-isolate if they feel unwell.
On Wednesday, Government advice was updated to urge anyone returning to the United Kingdom from "lockdown" areas in northern Italy to self-isolate regardless of whether they have symptoms, while travellers from any other part of the country should call 111 or self-isolate if they feel unwell.
There are three COVID-19 diagnoses in Lancashire, West Yorkshire, Hertfordshire, and Northern Ireland where a Queen's University Belfast postgraduate student is the latest confirmed cases.
Giving evidence to the Health Select Committee, Prof Chris Whitty said: 'I'm expecting the number only to go up'.
And he said pregnant women should not start worrying about coronavirus, but advised any smoker to stop.