Central and North West London Trust was caring for 85 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 January 11 was up from 74 on the same day the previous week.
There were five beds occupied by Covid-19 patients four weeks ago in Central and North West London NHS Foundation Trust.
Across England there were 16,939 people in hospital with Covid as of January 11, with 686 of them in mechanical ventilation beds.
The number of Covid-19 patients hospitalised nationally more than doubled in the last four weeks, however the number on mechanical ventilators has decreased by 14%.
The figures also show that 16 new Covid patients were admitted to hospital in Central and North West London NHS Foundation Trust in the week to January 9. This was down from 21 in the previous seven days.