Avon and Wiltshire Mental Health Partnership NHS Trust was caring for four coronavirus patients in hospital as of Tuesday, figures show.
NHS England data shows the number of people being treated in hospital for Covid-19 by 8am on September 14 was up from three on the same day the previous week.
There were no beds occupied by Covid-19 patients four weeks ago in Avon and Wiltshire Mental Health Partnership NHS Trust.
Across England there were 6,344 people in hospital with Covid as of September 14, with 888 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally has increased by 17% in the last four weeks, while the number on mechanical ventilators has increased by 8%.
The figures also show that four new Covid patients were admitted to hospital in Avon and Wiltshire Mental Health Partnership NHS Trust in the week to September 12. This was up from two in the previous seven days.