Coventry and Warwickshire Partnership NHS Trust was caring for two coronavirus patients 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 June 7 was up from one on the same day the previous week.
There were three beds occupied by Covid-19 patients four weeks ago in Coventry and Warwickshire Partnership NHS Trust.
Across England there were 4,108 people in hospital with Covid as of June 7, with 116 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally has decreased by 44% in the last four weeks, while the number on mechanical ventilators has decreased by 34%.
The figures also show that two new Covid patients were admitted to hospital in Coventry and Warwickshire Partnership NHS Trust in the week to June 5. This was up from one in the previous seven days.