Southern Health Trust was caring for four coronavirus patients in hospital as of Wednesday, figures show.
NHS England data shows the number of people being treated in hospital for Covid-19 by 8am on Nov-16 was up from two on the same day the previous week.
There were 16 beds occupied by Covid-19 patients four weeks ago in Southern Health NHS Foundation Trust.
Across England there were 5,010 people in hospital with Covid as of Nov-16, with 122 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally has decreased by 52% in the last four weeks, while the number on mechanical ventilators has decreased by 41%.
The figures also show that five new Covid patients were admitted to hospital in Southern Health NHS Foundation Trust in the week to Nov-14. This was up from one in the previous seven days.