The patient died in the care of Shrewsbury and Telford Hospital NHS Trust, which runs Royal Shrewsbury Hospital and Princess Royal Hospital in Telford.
It takes the death toll of coronavirus patients at the county’s health trusts to 540 since the start of the pandemic.
In Powys, 217 people are thought to have died after contracting the disease.
A further 178 people, who tested positive for Covid-19, have died in hospitals across the country.
It brings the total number of confirmed reported deaths in hospitals in England to 81,482.
The latest figures included 45 deaths in the Midlands.
A spokesman for NHS England said: "A further 178 people, who tested positive for coronavirus (Covid-19) have died, bringing the total number of confirmed reported deaths in hospitals in England to 81,482.
"Patients were aged between 25 and 101 years old. All except seven – aged 47 to 97 years old – had known underlying health conditions.
"Date of death ranges from January 2 to February 21 with the majority being on or after February 18.
"Their families have been informed."
Meanwhile, 15,471,509 coronavirus vaccinations have been carried out across England to date – including first and second doses.
In the Midlands, 2,881,310 first doses of the coronavirus vaccine has been administered, while 77,777 second doses have been carried out.
The data includes vaccinations carried out between December 8 and February 21.