Nicola Sturgeon has written to Boris Johnson calling for urgent four-nation talks to tighten lockdown restrictions further.
The Scottish first minister cited scientific opinion that stronger action was needed to control coronavirus.
Ms Sturgeon also said more financial support was necessary to cushion the impact on businesses.
It comes as the chancellor prepares to unveil plans to minimise job losses as new Covid restrictions come into force.
In July, about 700,000 workers in Scotland, many in the hospitality sector, were still receiving some or all of their income through the scheme.
The Scottish government has already gone