Southern Health Trust was caring for nine patients with coronavirus in hospital as of Sunday, figures show.
NHS England data shows no people were being treated in hospital with Covid-19 the same day the previous week.
Across England there were 4,114 people in hospital with Covid as of December 31.
Nationally, the number of hospital patients with Covid-19 has increased by 71% in the last four weeks.
The figures also show that 10 new patients with Covid were admitted to hospital in Southern Health NHS Foundation Trust in the week to December 29.