There were just four fewer COVID-19 related deaths in care homes in England and Wales in the latest weekly period covered by the ONS.
In its latest update for the week ending 17 July, the ONS said there were 91 COVID-19 related deaths in care homes in England and Wales, down from 95 in the previous week.
The slower rate of decline comes after have fatalities have dropped significantly in the previous eight weeks.
On a cumulative basis, the ONS said there were 15,216 deaths involving COVID-19 in care homes in England and Wales up to 17 July, accounting for almost a third (29.7%) of all coronavirus fatalities.
Data provided by the CQC revealed there were 14,045 deaths of residents in care homes in England between 10 April and 24 July, with 40 notified in the week up to 24 July.
Care Inspectorate Wales said there were 501 COVID-19 related deaths of residents in care homes in Wales between 17 March and 17 July.
Deaths involving COVID-19 as a proportion of all deaths in care homes decreased from 5.8% to 5.1% in the week ending 17 July.