Solent NHS Trust was caring for two patients with coronavirus in hospital as of Wednesday, figures show.
NHS England data shows no people were being treated in hospital with Covid-19 at 8am on April 26.
There were two beds occupied by patients with Covid-19 four weeks ago in Solent NHS Trust.
Across England there were 4,585 people in hospital with Covid as of May 3, with 124 of them in mechanical ventilation beds.
Nationally, the number of hospital patients with Covid-19 has decreased by 35% in the last four weeks, while the number on mechanical ventilators has decreased by 25%.
The figures also show that no new patients with Covid were admitted to hospital in Solent NHS Trust in the week to May 1.