Transport Minister Eamon Ryan has confirmed a 'green list' of countries deemed safe to travel will not now come into effect until later this month.
Minister Ryan has also said there will be some 'targeted' coronavirus testing introduced at Irish airports.
The Government had planned to publish a list next week of 'air bridge' countries people could go on holiday to without needing to self-isolate when they come back.
However, that will has now been pushed to July 20th due to concerns over a rise in travel-related coronavirus cases.
Speaking on On The Record this morning, the Green Party leader said the Government has to be 'flexible' in its approach to travel due to the success we've had in containing the virus so far.
He said: “Flights will continue, and at no stage has there been a complete restriction on flights. We do need emergency workers, and there are essential occasions when people will need to fly.
“Restricting travel, particularly overseas travel where it’s not essential… that continues to play a part. Where we will start to open up flights is in those countries where their positions are similar if not better than our own - a so-called green list. That is what will be published on July 20th, or prior to that - the green list will be operating after that [date].
“We will also look at other measures to try to improve our responsiveness. We as an open country… we cannot completely isolate ourselves, particularly because we’re in a Common Travel Area with the UK."
In terms of testing at airports, Minister Ryan said not every passenger will be tested - but it's important to have a 'certain element of testing' for those arriving in the country.
He also said the current self-isolation form will need to be replaced with an "electronic form of recording passengers", to allow officials easily carry out follow-up text messages or phone calls to those who've arrived in Ireland.
Minister Ryan stressed that the Government doesn’t want an “avalanche” of Irish people going abroad and arriving back when restrictions are eased, and the message will continue to be to encourage people to holiday in Ireland wherever possible.