Solent NHS Trust was caring for two 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 3,319 people in hospital with Covid as of February 4.
Nationally, the number of hospital patients with Covid-19 has decreased by 20% in the last four weeks.
The figures also show no new patients with Covid were admitted to hospital in Solent NHS Trust in the week to February 2.