The 14-day cumulative number of Covid-19 cases per 100,000 in Luxembourg is 222.4, compared with 15 for the UK.
There are currently 6,533 confirmed cases of the virus in Luxembourg.
Scotland’s Justice Secretary Humza Yousaf said in a statement: “This decision is based on the latest available data from the Joint Biosecruity Centre and it gives another clear indication that the virus is active and still spreading.
“We have always maintained that we are closely monitoring the pandemic situation in all countries and we will impose quarantine requirements as necessary in a bid to protect the public.
“This virus is showing a resurgence in areas and it should not be forgotten how deadly it remains.
“Our priority is to is suppress the virus, prevent it from being transmitted and protecting public health.”
The UK FCO has not yet changed its online travel page for Luxembourg.
Its current travel advice still states: “From 4 July, Luxembourg is exempt from the FCO advice against all non-essential international travel.
Health Secretary Matt Hancock told Sky News this morning: “You can see a second wave starting to roll across Europe and we’ve got to do everything we can to prevent it from reaching these shores and tackle it.
“The measures that the Chief Medical Officer will set out later are part of that, but so too are the measures we are taking to ensure that we don’t directly bring cases back to this country.”
He added: “We’re taking action and we will take action if it is needed to keep this country safe.”
Hancock reiterated that the Government is worried about a second wave because “you can see it happening”.
“Outside of Europe, there are clearly very sharp increases in the number of cases in places like Brazil, Mexico, India and other places.
“But closer to home, in Europe, including in some of the countries we had exempted from quarantine because their cases were so low, we’re seeing that come up and we won’t hesitate to act.”