A record 226 recently arrived international protection applicants are without State-provided accommodation.
This amounts to one in ten asylum seekers who have arrived in the country so far this year.
The Irish Refugee Council has raised concerns about the asylum seekers that it is supporting who are currently sleeping rough.
A policy of not offering accommodation to newly arriving asylum seekers who present without children was introduced on 24 January due to a shortage of available accommodation for international protection applicants.
The latest figures, released by the Department of Children, Equality, Disability, Integration and Youth, are correct up to close of business yesterday.
They include 26 people who presented to the International Protection Office yesterday, a figure that usually includes weekend arrivals.
According to the department's figures, the number of adult asylum seekers, who were not offered State-provided accommodation when they initially presented, first surpassed 220 almost two weeks ago.
However, the number fell back to below 170 last week as additional capacity was found and the number of international protection applicants arriving fell.
In total 510 people were not offered accommodation when they first presented since 24 January - 284 have since been offered spaces.
It is understood that the International Protection Accommodation Service (IPAS) is attempting to offer places when they become available to those affected in order of when they presented, on a first come, first served basis.
According to figures released by the Department of Justice, 2,250 people have sought international protection in Ireland so far this year.
On average, 263 international protection applicants have arrived each week since mid-November, with a high of 362 in the first week of this year, and a low of 188 two weeks ago.
Last week 217 people presented to seek international protection here, the highest figure in four weeks, but still substantially down on the numbers presenting since mid-November last year.
In addition to the current ongoing shortage in available accommodation for international protection applicants, the State is also faced with finding alternative accommodation for 1,600 asylum seekers currently living in four hotels that will cease to provide this accommodation at the end of the month.
This group included families with children attending local schools.
A department spokesperson described the task of finding alternative accommodation for these 1,600 asylum seekers as a "significant challenge."
At the weekend Minister of State for Integration Joe O'Brien acknowledged that "we don't have adequate contracts coming on to replace them" but said that "there is very intensive work to add more contracts as we go along."
It is understood that work is ongoing to secure three large buildings, with at least one outside of Dublin, which would be used to provide temporary emergency accommodation at scale.
It is also understood that they would operate in a manner like the emergency accommodation service provided at the Citywest Convention Centre.
However, it is unlikely that any of these emergency accommodation centres will be up and running before the four contracts run out.
There are also currently 81 international protection applicants living in tents on the site of the direct provision centre in Knockalisheen in Meelick, Co Clare.
A spokesperson confirmed that the Department of Defence and the Defence Forces are due to hand over an agreed site at Columb Barracks in Mullingar, Co Westmeath, this week, for the purpose of accommodating asylum seekers, initially in tents.
However, the spokesperson said that no international protection applicants have yet been "assigned" to live there, and they are "awaiting confirmation of (the) handover."