Southern Health Trust was caring for 31 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 July 12 was up from 24 on the same day the previous week.
The number of beds at Southern Health NHS Foundation Trust occupied by people who tested positive for Covid-19 more than tripled in the last four weeks – 28 days ago, there were 10.
Across England there were 13,621 people in hospital with Covid as of July 12, with 264 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 more than doubled.
The figures also show that 29 new Covid patients were admitted to hospital in Southern Health NHS Foundation Trust in the week to July 10. This was up from 24 in the previous seven days.