Nicola Sturgeon has warned click and collect retail services could be halted under tougher restrictions under consideration.
The First Minister announced on Monday that mainland Scotland would be placed under a tough new lockdown which sees people barred from leaving their homes for an essential purpose.
Unlike the first lockdown imposed in March last year, manufacturing and construction businesses have so far been allowed to continue to operate.
Speaking at her regular media briefing today, the SNP leader said non-essential business operations will be kept under review.
Click and collect services - offered by a number of big name retailers including John Lewis, and Boots - could be halted in a bid to reduce people travelling outdoors.
Sturgeon pointed to the example of the Republic of Ireland, which recently introduced a similar ban.
"That shouldn't be taken as an indication we are definitely going to do, but it's the kind of thing we are going to look at if we have a concern that we are not sufficiently reducing the number of people that are out and about and interacting," she said.
She added: "We always strike a balance between keeping people at home and allowing certain things to continue.
"In the last lockdown, non-essential manufacturing and construction did not operate for a period. Both have done an awful lot to make their operations safer.
"But we have to keep all of that under review. At the end of the day, what matters here is that we reduce interactions sufficiently to stop this virus spreading."
Mainland Scotland was placed in lockdown as of Tuesday, with people told to remain indoors unless venturing out for one of several essential reasons.
Schools are also shut to the vast majority of pupils and will not reopen until February at the latest.
In a TV interview on Thursday morning, the First Minister added: "There is a question in my mind about whether we need to go a bit further in restricting non-essential business activities to cut even further the reasons that people have for being outside of their own home and that's something I will be looking at with my advisers over the next few days."
