University Hospitals Bristol and Weston Trust was caring for four patients 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 10 was down from five on the same day the previous week.
Across England there were 1,669 people in hospital with Covid as of March 10.
Nationally, the number of hospital patients with Covid-19 has decreased by 46% in the last four weeks.
The figures also show nine new patients with Covid were admitted to hospital in University Hospitals Bristol and Weston NHS Foundation Trust in the week to March 8.