The First Minister has urged Scots not to travel to or from England unless it is for “essential purposes”.
Nicola Sturgeon made the plea amid reports Prime Minister Boris Johnson is considering a second lockdown south of the border.
She said her government will “take account of any developments in England” but base decisions on circumstances in Scotland.
Sturgeon also said the prevalence of coronavirus is lower in Scotland than in other parts of the UK, after stricter measures were introduced north of the border in September.
The restrictions saw Scots banned from going into other people’s homes and the Scottish Government also acted to close bars and restaurants across the central belt in early October.
A new five-level system of restrictions for tackling coronavirus will come into force in Scotland on Monday, which will see travel restrictions imposed on many Scots.
In level level three areas – the second highest tier in the new system – people are urged not to go outside of their own local authority area.
In a series of tweets urging people to stick to the new rules, Sturgeon also said people are being asked not to travel to or from England.
The First Minister said: “People should not travel to or from level three areas in Scotland and for now, we are asking people not to travel to or from England at all, except for essential purposes.”
On speculation surrounding a lockdown in England, she said: “Prevalence of the virus is currently lower in Scotland than in other parts of the UK and there are early signs that the tough restrictions in place since we moved quickly in late September have started to slow the rate of increase.
“We will base decisions on circumstances here – though what happens just across our border is clearly not irrelevant to our considerations.
“In coming days the Scottish Government will consider data on the spread of the virus, as we always do, and take account of any developments in England.”
Sturgeon said the Scottish Government would have to consider if “any financial support will be available now as a result of steps in England, which would not be guaranteed to Scotland later”.
But she added: “Most importantly, we urge everyone to comply with current restrictions, including on travel.
“Above all, we will do our best – in difficult circumstances – to arrive at the best and most rational decisions we can, with the priority of protecting health and lives.
“And we will set out any decisions to the Scottish people and the Scottish Parliament in as managed a way as possible.”