The patients were being treated at University Hospitals Birmingham NHS Foundation Trust [UHB], which runs which runs the Queen Elizabeth, Good Hope, Heartlands and Solihull hospitals.
It has brought the hospital death toll from Covid-19 across the Black Country, Birmingham and Staffordshire to 2,600.
Across England, a further 17 people who tested positive for coronavirus have died. The deaths occurred between Monday and Saturday.
An NHS spokesman said: "Patients were aged between 49 and 93 years old. All bar one individual - aged 59-years-old - had known underlying health conditions."
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It has brought England's hospital death toll from Covid-19 to 29,908.
At UHB NHS Trust, the toll now stands at 1,001.
No deaths have been reported across the Black Country or Staffordshire today.
Yesterday, five people were confirmed to have died at Sandwell and West Birmingham Hospitals [SWBH] NHS Trust - which runs City and Sandwell General hospitals. The hospital death toll at [SWBH] now stands at 389
Also yesterday, one death was announced at the Dudley Group NHS Foundation Trust, which runs Russells Hall Hospital, bringing the death toll there to 266.