Hampshire Hospitals Trust was caring for 40 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 August 27 was up from 32 on the same day the previous week.
Across England there were 2,501 people in hospital with Covid as of August 27.
Nationally, the number of hospital patients with Covid-19 has increased by 64% in the last four weeks.
The figures also show 32 new patients with Covid were admitted to hospital in Hampshire Hospitals NHS Foundation Trust in the week to August 25.