Housing charity Threshold has called for an extension of the moratorium on rent increases and evictions.
The measures were introduced by the Government as a response to the COVID-19 crisis.
However they are due to expire on June 27th.
Taosieach Leo Varadkar says no decision has been made, but it will be considered.
"It was done on the anticipation that this pandemic, if you like, would last for less than 12 weeks.
"But obviously if it goes on for longer we'll have to give consideration to extending a lot of those different, temporary actions.
"But that's not a decision we need to make now, it's a decision that can be made in a few weeks time".
The call comes as the latest figures from the Residential Tenancies Board (RTB) show rents throughout the country increased further in the final quarter of 2019, before the pandemic struck.
The increase of average rent in the State to €1,226 per month in the last three months of 2019 represents an average 6.4% rise.
This is the lowest year on year increase for six years, and shows a small decrease on the previous quarter.
"Threshold has experienced a substantial increase in calls as a result of the COVI-19 crisis", according to the CEO of Threshold John-Mark McCafferty.
"Two-thirds of the people contacting us due to COVID-19 have lost their incomes, and some are building up substantial rent arrears.
"The Government moratorium is very welcome for these tenants but is due to expire on June 27th.
"It simply must be extended in order to reduce the huge level of fear and distress out there among tenants."