Four deaths were confirmed at Sandwell and West Birmingham NHS Trust, which runs City and Sandwell General hospitals, where 1,134 people have now died with Covid.
Two deaths were reported at the University Hospitals Birmingham NHS Foundation Trust, which runs Queen Elizabeth Hospital as well as Heartlands, Solihull and Good Hope hospitals, taking the death toll there to 2,527.
One death was confirmed at University Hospitals of North Midlands NHS Trust, which runs the main hospitals in Stafford and Stoke, taking the trust's death toll to 1,344.
A further 185 people, who tested positive for Covid, have died in England's hospitals, bringing the national tally in hospitals to 84,276.
An NHS spokesman said: "Patients were aged between 42 and 96 years old. All except six, aged 54 to 84 years old, had known underlying health conditions.
"Date of death ranges from December 31 to March 5.
"Their families have been informed."
At Walsall Healthcare NHS Trust, which runs Walsall Manor Hospital, the death toll stands at 706.
A total of 779 people have died from Covid at the Royal Wolverhampton NHS Trust, which runs New Cross Hospital.
There have been 705 hospital patients who have died at Dudley Group NHS Foundation Trust, which runs Russells Hall Hospital.
Meanwhile, a further 1,356 have died in the region's care homes after contracting coronavirus.
Elsewhere, 18,835,355 coronavirus vaccinations have been carried out across England to date – including first and second doses.
In the Midlands, 3,527,175 first doses of the coronavirus vaccine has been administered, while 126,482 second doses have been carried out.
The data includes vaccinations carried out between December 8 and March 4.