Coventry and Warwickshire Partnership NHS Trust was caring for one coronavirus patient in hospital as of Tuesday, figures show.
NHS England data shows the number of people being treated in hospital for Covid-19 by 8am on August 10 was down from two on the same day the previous week.
There were no beds occupied by Covid-19 patients four weeks ago in Coventry and Warwickshire Partnership NHS Trust.
Across England there were 5,096 people in hospital with Covid as of August 10, with 782 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally increased by 72% in the last four weeks, while the number on mechanical ventilators has increased by 66%.
The figures also show that no new Covid patients were admitted to hospital in Coventry and Warwickshire Partnership NHS Trust in the week to August 8. This was down from two in the previous seven days.