Southern Health Trust was caring for three patients with coronavirus in hospital as of Sunday, figures show.
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NHS England data shows no people were being treated in hospital with Covid-19 the same day the previous week.
Across England there were 3,176 people in hospital with Covid as of November 5.
Nationally, the number of hospital patients with Covid-19 has decreased by 28% in the last four weeks.
The figures also show five new patients with Covid were admitted to hospital in Southern Health NHS Foundation Trust in the week to November 3.