Construction will be allowed to return on a phased basis from April 5th under plans being considered by ministers.
The Irish Times reports home-building will be the first to start again after a push by lobbying groups.
The Construction Industry Federation has warned the housing crisis could be extended for at least 3 years if the sector remains shut.
Meanwhile, the 5 kilometre travel limit could be expanded to 8 or 10 kilometres next month, rather than scrapped, if Covid case numbers remain high.
Dr Mary Favier, former president of the Irish College of GPs and member of NPHET, says there is very little wriggle room for easing restrictions.