The chief executive of Ryanair has said the carrier 'will take anything' that gets people moving.
It comes as the Government is considering tighter travel restrictions for the UK due to the spread of the Delta variant, which was first identified in India.
Currently passengers arriving from Britain have to quarantine at home - however, they can leave after five days with a second negative PCR test.
The Government is now considering extending that period.
The Delta variant accounts for more than 90% of new cases in the UK.
Eddie Wilson told The Hard Shoulder Ireland should be getting moving now.
"I think what they need to do, as part of that, is to open up travel for those who are fully vaccinated.
"We've gone a further year into this now, and we have the most vaccinated country in Europe - the UK - and we still have an open border.
"They do have pockets of the Indian variant and it is growing - but there's no reason why vaccinated people shouldn't travel, especially when you can come across the border unrestricted from the UK through Northern Ireland."
Asked if he would support increased restrictions for unvaccinated people, he said: "We will take anything at this stage that gets people moving again.
"We now have, in this country, I think almost 40% on their first dose and over 10% on their second dose.
"And you're up to 80% on first dose in the UK.
"There's no reason why vaccinated people can't get on an aircraft and go backwards and forwards between Ireland and the UK in the Common Travel Area."
Europe to Europe flights 'chock-a-block'
Mr Wilson said Ireland's resumption of international travel "should be now" - not July 19th.
"This idea that we're waiting for this thing to fall on the 19th of July: there's no reason why vaccinated people shouldn't be able to travel today.
"Europe to Europe travel at the moment - the Germans, the Scandinavians, the French - at this time of year are all going on their holidays.
"We're chock-a-block from those flights at the moment within Europe.
"It's almost like a sort of an island mentality here as well".
He added that if this summer season is missed, Ireland will pay the price later.
"This winter is going to be devastating for tourism here, because if you miss the summer the aircraft move.
"There isn't really a sense here of what we're going to be doing in the winter time here.
"What's going to happen the Common Travel Area? Should it be open, should we put more aircraft on that? Should we put them elsewhere?
"And while we are making our way towards this July 19th date... we should be able to do it today.
"At the moment, we're telling everyone Ireland is closed".