Six people are being tested in hospitals in Scotland and Northern Ireland after showing symptoms.
All the patients had been in Wuhan, the Chinese city where the new strain first emerged, in the last 14 days.
A Scottish Government spokesperson said: “There are currently no confirmed cases of Coronavirus (WN Co-V) in Scotland and the risk to the Scottish public remains low.
“Following travel to Wuhan, China, two people confirmed as diagnosed with influenza are now being tested for Wuhan Novel Coronavirus as a precautionary measure only. Three further people are also undergoing testing on a similar precautionary basis.
“As the situation develops we will update should there be any confirmed cases of Coronavirus, rather than provide a running update on cases being considered on a precautionary basis.
“We are co-orientating with Health Protection Scotland a daily Incident Management Team to continue to monitor the situation as it develops, including on the number of any potential cases going forward.”
Currently, patients are in isolation at Glasgow’s Queen Elizabeth University Hospital and Edinburgh’s Royal Infirmary.
All the patients had respiratory symptoms and had been in Wuhan in the last 14 days.
It is thought these patients flew into London before making their way to Scotland and it is currently unclear if they are connected in any way to one another.