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 November 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 November 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 November 14. This was up from one in the previous seven days.