Solent NHS Trust was caring for four patients with coronavirus in hospital as of Sunday, figures show.
NHS England data shows the number of people being treated in hospital with Covid-19 by 8am on October 29 was up from two on the same day the previous week.
Across England there were 3,586 people in hospital with Covid as of October 29.
Nationally, the number of hospital patients with Covid-19 has decreased by 7% in the last four weeks.
The figures also show that three new patients with Covid were admitted to hospital in Solent NHS Trust in the week to October 27.