Solent NHS Trust was caring for seven patients with coronavirus in hospital as of Wednesday, figures show.
NHS England data shows the number of people being treated in hospital with Covid-19 by 8am on March 15 was down from 17 on the same day the previous week.
There was one bed occupied by a patient with Covid-19 four weeks ago in Solent NHS Trust.
Across England there were 8,434 people in hospital with Covid as of March 15, with 184 of them in mechanical ventilation beds.
Nationally, the number of hospital patients with Covid-19 has increased by 17% in the last four weeks, while the number on mechanical ventilators has increased by 34%.
The figures also show that two new patients with Covid were admitted to hospital in Solent NHS Trust in the week to March 13. This was down from 11 in the previous seven days.