Two new hospital deaths were announced by the NHS in Staffordshire, where two additional deaths in care homes were also confirmed by the the Office for National Statistics (ONS).
No new hospital deaths were announced in the Black Country for the fourth day in a row but five more deaths in care homes were reported in the weekly figures from the ONS.
No deaths in care homes or hospitals were announced in Birmingham today.
It means 3,135 people have now been confirmed to have died with coronavirus in care homes and hospitals in the Black Country, Birmingham and Staffordshire. Of these 2,528 were in hospitals and 607 in care homes.
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Of the five newly-reported care home deaths in the Black Country, three were in Wolverhampton where 66 care home residents have now died, one was in Sandwell where 39 residents have died and one was in Walsall where the death toll in care homes is now 80.
No new deaths were reported in Dudley where 51 care home residents have died with the virus.
In the Staffordshire County Council area 202 people have died in care homes after contracting Covid-19 and in Birmingham 169 care home residents have died.
The number of deaths in hospitals in England increased by 36 to 28,940 today.
The UK-wide death toll released by Government, which includes deaths in and out of hospitals, will be announced later.
Both deaths in Staffordshire were confirmed at the University Hospitals of North Midlands NHS Trust, which runs County Hospital in Stafford and the Royal Stoke University Hospital, where 350 have now died with coronavirus.
No other deaths were confirmed at any other hospital trusts across the West Midlands in Tuesday's figures.
At the University Hospitals Birmingham NHS Foundation Trust, which runs Queen Elizabeth, Heartlands, Good Hope and Solihull hospitals, the death toll is 958.
A total of 286 people have died at the Royal Wolverhampton NHS Trust, which runs New Cross and Cannock Chase hospitals, while 263 have died at the Dudley Group NHS Foundation Trust, which runs Russells Hall Hospital.
At the Walsall Healthcare NHS Trust, which runs Walsall Manor Hospital, 225 people have been confirmed to have died, while at the Sandwell and West Birmingham NHS Trust, which runs Sandwell General and City hospitals, 377 people have died.
While in Worcestershire, 303 people have died in hospital after contracting the virus.
A spokesman from NHS England said: "A further 36 people, who tested positive for the coronavirus (Covid-19) have died, bringing the total number of confirmed reported deaths in hospitals in England to 28,940.
"Patients were aged between 53 and 98 years old. Two patients, aged 83 and 85, had no known underlying health conditions.
"Their families have been informed."
The daily hospital figures include Covid-19 patients whose deaths were confirmed in the previous 24 hours, not who died in that period.