Southern Health Trust was caring for 16 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 October 19 was up from 10 on the same day the previous week.
There were eight beds occupied by Covid-19 patients four weeks ago in Southern Health NHS Foundation Trust.
Across England there were 10,387 people in hospital with Covid as of October 19, with 206 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally has more than doubled in the last four weeks, while the number on mechanical ventilators has increased by 42%.
The figures also show that 16 new Covid patients were admitted to hospital in Southern Health NHS Foundation Trust in the week to October 17. This was down from 20 in the previous seven days.