The state currently has over 300 contracts with the likes of hotels, B&Bs, arenas and religious institutes.
There are fears Ukrainian refugees could have nowhere to live in a matter of weeks.
It comes as government hotel contracts are expected to come to an end.
A cabinet committee on Ukraine is set to discuss the current situation today, which could reach a 'crisis point'.
It's expected that around 3,400 people could be without accommodation in six weeks time, according to modelling conducted by Ernst and Young.
The Irish Independent reports that the state currently has over 300 contracts with the likes of hotels, B&Bs, arenas and religious institutes.
While 4,500 people living in student accommodation may have to vacate as the academic year returns.
In response, the government is hoping that 6 thousand private accommodation pledges will come on stream by the end of the summer.
While the local authorities and the department of housing's role will also be discussed at today's meeting.

Victim Loses Eye After Attempted Murder In Belfast On Monday
Report Finds Over 95,000 Children Are In Poverty
Plans For Energy Facility In Carlow To Bypass Local Authority Due To 'Critical Infrastructure'
Trial Of Man Accused Of Attempted Murder Of Three Children In Dublin Begins Today
Homes Set On Fire In Belfast As Protests Turned Violent Last Night
PSNI Calling For 'Calm' Following Knife Attack In Belfast
Investigation Into Bill Kenneally Reveals "Dereliction Of Duty"
Number Of Students In Third Level Education Expected To Rise By 19% Over Next Ten Years