NHS England said the death occurred while the patient was in the care of the Shrewsbury and Telford Hospital NHS Trust (SaTH), which runs Royal Shrewsbury Hospital and Telford's Princess Royal Hospital.
This brings the total number of people who have died with Covid-19 at SaTH to 221.
It means in total 241 patients have died in Shropshire hospitals after contracting coronavirus, with 15 deaths at the Shropshire Community Health Trust and five at the Robert Jones and Agnes Hunt Orthopaedic Hospital near Oswestry.
A total of 177 people have died in care homes in Shropshire since the pandemic began – after a further four deaths were confirmed on Tuesday, in the latest figures.
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In the week from November 14 to November 20, three care home deaths were confirmed in the Shropshire Council area and one in Telford and Wrekin. In Powys the hospital deaths toll remains at 102.
Nationally, a further 353 people who tested positive for coronavirus have died, bringing the total number of confirmed reported deaths in England's hospitals to 38,865.
Patients were aged between 10 and 100 years old. All except nine, aged 31 to 90 years old, had known underlying health conditions.
Their families have been informed.
The number of daily deaths of patients with Covid-19 by region are 21 in the East of England; 21 in London; 101 in the Midlands; 80 in North East & Yorkshire; 71 in North West; 35 in South East and 24 in South West.