The Taoiseach has said the Government will take a cautious approach to international travel and non-essential travel is not advised until at least 20 July.
On that date, a so-called "green list" of countries with similar levels of the virus to Ireland will be published. That will be followed by an easing of travel restrictions between those countries and Ireland.
Micheál Martin said Covid-19 remains volatile judging by what is happening in other countries and Ireland needs to keep it suppressed.
He said that the Government's priorities include the reopening of schools as fully as possible in September along with increasing capacity in the health service to provide non-Covid treatments, and it will not do anything to jeopardise these aims.