Solent NHS Trust was caring for six 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 August 2 was down from nine on the same day the previous week.
There were six beds occupied by Covid-19 patients four weeks ago in Solent NHS Trust.
Across England there were 10,177 people in hospital with Covid as of August 2, with 240 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally has decreased by 8% in the last four weeks, while the number on mechanical ventilators has increased by 5%.
The figures also show that nine new Covid patients were admitted to hospital in Solent NHS Trust in the week to July 31. This was up from eight in the previous seven days.