University Hospitals Bristol and Weston Trust was caring for one patient 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 March 31 was down from two on the same day the previous week.
Across England there were 1,382 people in hospital with Covid as of March 31.
Nationally, the number of hospital patients with Covid-19 has decreased by 21% in the last four weeks.
The figures also show one new patient with Covid was admitted to hospital in University Hospitals Bristol and Weston NHS Foundation Trust in the week to March 29.