The Prime Minister confirmed restrictions will start to lift in Britain next week.
But Boris Johnson said it is still too early to give the nation an update on when and how he expects international travel to resume.
He did, however, suggest some sort of vaccination certificate will likely be part of international travel.
Mr Johnson stressed that plans are not set in stone and that he plans reveal more details about the possibility of overseas holidays before May 17.
Though he added anyone wishing to go on holiday must be 'realistic' over the resumption of foreign holidays because of a 'surge' of covid-19 in popular destinations.
Downing Street has confirmed when the rules are relaxed there will be a risk-based "traffic light" system with red, amber and green ratings for countries around the world.
Travellers arriving from countries rated green will not be required to isolate although pre-departure and post-arrival tests will still be needed.
For those classed as amber or red, the restrictions will remain as they are with arrivals required to isolate or enter quarantine.
Officials have made clear there will be no announcement this week as to which countries are on which list - a decision which has been criticised by tourism industry bosses.
What travel industry leaders say:
The lack of clarity from Boris Johnson during his recent coronavirus press conference has left travel industry leaders disappointed.
Rory Boland, editor of consumer magazine Which? Travel, said: "The Government's plans to use a traffic light system to safely restart international travel will be welcome news to both industry and holidaymakers but crucial details are still outstanding.
"With mandatory testing set to continue for all destinations, the cost of private tests means millions risk being priced out of travel - so the Government must urgently look at ways to reduce these costs before it reopens international travel."
Tim Alderslade, boss of Airlines UK, an industry body representing UK-registered carriers, said: "Whilst we support the establishment of a framework for restarting international travel and welcome the removal of self-isolation for arrivals from green countries, today's announcement does not provide the clarity we were seeking on the road map back towards normality.
"We await further details but the measures indicated, including the potential for multiple tests for travellers even from 'green countries', will prevent meaningful travel even to low-risk destinations."
Countries currently on the red list:
- Angola
- Argentina
- Bangladesh (will be added to the list 4am Friday 9 April)
- Bolivia
- Botswana
- Brazil
- Burundi
- Cape Verde
- Chile
- Colombia
- Democratic Republic of the Congo
- Ecuador
- Eswatini
- Ethiopia
- French Guiana
- Guyana
- Kenya (will be added to the list 4am Friday 9 April)
- Lesotho
- Malawi
- Mozambique
- Namibia
- Oman
- Pakistan (will be added to the list 4am Friday 9 April)
- Panama
- Paraguay
- Peru
- Philippines (will be added to the list 4am Friday 9 April)
- Qatar
- Rwanda
- Seychelles
- Somalia
- South Africa
- Suriname
- Tanzania
- United Arab Emirates (UAE)
- Uruguay
- Venezuela
- Zambia
- Zimbabwe
