The Aviation Recovery Taskforce has recommended that the 14-day quarantine be lifted by July 1st.
It says Ireland is now "significantly behind" other EU member states when it comes to the restoration of air travel.
This task force was set by Government two weeks ago to make recommendations on what needs to be done to assist the Irish aviation sector to recover from the COVID-19 crisis.
In it's first interim report, its points out that the European Commission called on member states to lift all border restrictions by June 15th.
It notes that Ireland is now significantly behind other countries, despite having equivalent or even better success in containing Covid-19.
The report calls for urgent clarity on the plan for lifting the 14-day quarantine period and the easing of travel restrictions, both of which it says should be done by next Wednesday, July 1st.
It comes as the Government continues to advise against non-essential travel abroad.
Dublin Airport had its busiest day since the beginning of the pandemic on Sunday, with 4,000 passengers passing through.
However, the daily average before the virus hit was 115,000.