Solent NHS Trust was caring for two 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 May 17 was up from one 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 3,550 people in hospital with Covid as of May 17, with 89 of them in mechanical ventilation beds.
Nationally, the number of hospital patients with Covid-19 has decreased by 36% in the last four weeks, while the number on mechanical ventilators has decreased by 25%.
The figures also show that no new patients with Covid were admitted to hospital in Solent NHS Trust in the week to May 15.