A total of 11 people have now died with Covid-19 at Redmill Care Home in West Lothian.
Two deaths involving coronavirus were logged in the week ending September 6, both in hospitals.
The pandemic has 'underlined the need for improvement' in adult social care, Nicola Sturgeon said.
It follows revelations that 37 patients with coronavirus were transferred to care homes in March and April.
Annette Fargie passed away this month at the age of 75 at Carrondale Care Home.
The Care Inspectorate has written to a Falkirk care home over concerns including cleanliness and PPE.
More than 11,000 care home workers have been tested of Scotland's 50,000-strong workforce.
There have been 1818 deaths involving coronavirus in care homes, compared to 1815 in hospitals.
Nicola Sturgeon also confirmed 510 elderly people were discharged from hospitals to care homes in April.
The FM was challenged over care homes as new figures showed more than 1700 deaths of residents from Covid-19.
NHS Highland has stepped in to play a greater role in the facility after concerns were raised.
Education secretary John Swinney says he is 'wrestling' with the issues amid plans for a phased return to schools in August.
There have been more than 3600 confirmed or suspected coronavirus deaths in Scotland, weekly figures show.
HC-One will keep providing services at the Home Farm Care Home in Portree until at least June 10.
Coronavirus testing in Scotland has also been extended to anyone over the age of five with symptoms.
Speaking at First Minister's Questions, Richard Leonard said his uncle had died in a care home with the virus.
It follows weekly figures which show a third of deaths involving Covid-19 occurred in care homes.
The Care Inspectorate said it was aware of the deaths at Kingswells Care Home in Aberdeen.
