Avon and Wiltshire Mental Health Partnership NHS Trust was caring for 15 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 October 19 was up from 13 on the same day the previous week.
There was one bed occupied by a Covid-19 patient four weeks ago in Avon and Wiltshire Mental Health Partnership NHS Trust.
Across England there were 10,387 people in hospital with Covid as of October 19, with 206 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally has more than doubled in the last four weeks, while the number on mechanical ventilators has increased by 42%.
The figures also show that nine new Covid patients were admitted to hospital in Avon and Wiltshire Mental Health Partnership NHS Trust in the week to October 17. This was down from 14 in the previous seven days.