Solent NHS Trust was caring for 13 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 eight on the same day the previous week.
There were no beds occupied by Covid-19 patients four weeks ago in Solent NHS 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 seven new Covid patients were admitted to hospital in Solent NHS Trust in the week to October 17. This was down from 13 in the previous seven days.