South West London and St George's Mental Health NHS Trust was caring for six coronavirus patients in hospital as of Wednesday, figures show.
NHS England data shows the number of people being treated in hospital for Covid-19 by 8am on January 18 was down from nine on the same day the previous week.
There were 13 beds occupied by Covid-19 patients four weeks ago in South West London and St George's Mental Health NHS Trust.
Across England there were 6,299 people in hospital with Covid as of January 18, with 146 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally has decreased by 27% in the last four weeks, while the number on mechanical ventilators has decreased by 16%.
The figures also show that no new Covid patients were admitted to hospital in South West London and St George's Mental Health NHS Trust in the week to January 16. This was down from one in the previous seven days.