The UK Government is planning to introduce a 14-day quarantine for people arriving in from anywhere but Ireland.
Industry body, Airlines UK, said Whitehall had informed it of plans to introduce the measures as part of efforts to contain the spread of COVID-19.
UK Prime Minister Boris Johnson is expected to announce it tomorrow as part of the UK roadmap for ending restrictions.
The Times newspaper reports that all passengers arriving in, including returning UK citizens, will have to provide an address where they will self-isolate for two weeks.
It said authorities would carry out spot-checks, with people found to be breaking the rules facing a fine of up to £1,000 or deportation.
A UK Home Office spokeswoman said: “We do not comment on leaks. The focus remains on staying at home to protect the NHS and save lives.”
Travellers arriving from Ireland, the Channel Islands and the Isle of Man are set to be exempt, alongside hauliers carrying critical cargo.
It comes as the Taoiseach said the current guidelines on self-isolation on arrival in Ireland could be toughened without the need for new legislation.
People arriving at Irish ports are asked to self-isolate and required to sign a passenger location form - including details of where they will be staying.
However, Department of Justice figures released this week revealed that more than a third of passengers arriving into Dublin Airport over a six-day period did not fill out the form properly.
Over 600 people either failed to put in an address or put in something that was too vague for authorities to locate them.
On The Pat Kenny Show yesterday, Leo Varadkar said the Government was working on regulations to 'underpin' the rules at the country's airports and ports.
What we really need is an Irish-British solution within the common travel area, or a European-wide decision on what we do within our airports.
"We want air travel to resume again - I still want the possibility of people to engage in business and leisure travel before the end of the year, if not this summer.
"Some work is being done at European Commission level to make sure we all do the same thing at our airports."
Speaking in the Dáil earlier in the week, he said the Government was considering making the declarations mandatory on arrival.
A number of other countries, including Australia, New Zealand and Singapore, have already introduced mandatory quarantines for passengers arriving in.