National clinical director says officials are working on a 'digital solution' but says we 'dont want to burst what we've achieved'.
Travellers will be forced to extend their stays if they test positive for coronavirus during their period of isolation.
Passengers now have to pay £1750 to quarantine at one of six designated hotels in a bid to avoid importation of Covid-19.
Scots returning from Italy, San Marino and Vatican City must self-isolate from Sunday.
But the Portuguese islands of the Azores and Madeira are now exempt from 14-day quarantine for travellers.
The island of Curacao has also been added to the list of countries from where returning travellers must self-isolate.
Holidaymakers coming back Hungary and La Réunion will have to self-isolate from 4am on Saturday.
UK transport secretary Grant Shapps made the claim but the Scottish Government defended its decision.
Holidaymakers to the southern European nation will have to isolate for 14 days when they return.
Scotland has quarantine measures in place for most countries - but a number of nations are exempt.
Air bridges for Scottish holidaymakers announced for Lativia and Estonia.
The FM said she has heard 'very loudly' criticisms from airport bosses over the issue.
Scottish aviation bosses say the 14-day quarantine policy has already cost thousands of jobs.
The Scottish Government must act to avoid damage to the aviation sector, a trade body has said.
The First Minister said she thinks there should be more discussions between leaders on a four-nations basis.
Passengers arriving into the UK must self-isolate for 14 days, with a £480 fine in Scotland for breaching quarantine.
Justice secretary Humza Yousaf confirmed the policy will begin from Monday as part of measures to fight Covid-19.