The person was one of five Covid-19 patients in the region confirmed to have died today, with the other four deaths announced in Birmingham.
The patient died at Russells Hall on Sunday, becoming the first coronavirus patient to die at the Dudley Group NHS Foundation Trust since July 10 and taking the death toll at the trust to 265.
The five deaths announced today takes the total number of coronavirus deaths in Black Country, Staffordshire and Birmingham hospitals to 2,580.
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Meanwhile one more person has been confirmed to have died with Covid-19 in a care home in Wolverhampton, taking the number of coronavirus deaths in care in the region to 701.
Of these, 71 have been in Wolverhampton, 99 in Walsall, 59 in Dudley, 50 in Sandwell, 193 in Birmingham and 229 in Staffordshire.
The latest care home death happened on September 14.
Across England 28 more people were today confirmed to have died after testing positive for Covid-19, bringing the total number of reported deaths in hospitals in England to 29,785.
However some of these patients died more than 28 days after testing positive for coronavirus, meaning they will not be included in the Government's UK-wide death toll which increased by 37 to 41,825 today.
The four deaths at University Hospitals Birmingham NHS Foundation Trust, which runs the Queen Elizabeth, Good Hope, Heartlands and Solihull hospitals, takes the death toll there to 987.
At the Royal Wolverhampton NHS Trust, which runs New Cross and Cannock Chase hospitals, a total of 288 Covid-19 patients have died and 230 people have died at Walsall Healthcare NHS Trust, which runs Walsall Manor.
In Staffordshire, 355 people have died at the University Hospitals of North Midlands NHS Trust which runs the major hospitals in Stafford and Stoke.
A total of 384 people have died at Sandwell and West Birmingham Hospitals NHS Trust, which runs City and Sandwell General hospitals.
It comes as tighter restrictions are set to come into place in an attempt to curb the rising number of coronavirus cases in the UK.
Boris Johnson warned the UK was at a “perilous turning point” in the battle with coronavirus as he abandoned efforts to get more workers back into offices, ordered wider use of face masks and imposed a 10pm curfew on pubs and restaurants.
Meanwhile local restrictions banning people from mixing with other households came into force in Wolverhampton today.