Around 230 Ukrainians have moved into five recently refurbished buildings completed under the Emergency Refurbishment Ukraine Project.
At least 70 bed spaces in the properties have not yet been put into use.
It is understood that the five properties are being used to provide family accommodation.
The properties are the initial five of 64 medium to long-term projects selected under the scheme to be completed.
The Department of Housing, which is overseeing the refurbishment of the properties, had estimated that 328 people could be accommodated in the five properties.
Meanwhile, a spokesperson from the Department of Integration, which is responsible for moving Ukrainian refugees into the completed properties, said that "approximately 301 beds have been made available".
They added that as of 13 June "approximately 230 beds are being utilised to date across the properties".
The spokesperson said "the remaining beds are not currently in use at the moment for various reasons" including that "certain properties have only recently come on-stream, on occasion it takes longer to match the make-up of family groupings to the available room set-ups" and Ukrainian Beneficiaries of Temporary Protection (BOTPs) may move on to alternate accommodation as a result of family reunification.
"The department always aims to maximise capacity at the centres," the spokesperson stated.
"This is done in line with agreed parameters for maximum site capacity and cognisant of the provision of suitable accommodation for residents and family groupings," they added.
Figures released by the Department of Housing show that as of 31 May, the remaining 59 "medium to long-term refurbishment projects" are either under consideration or in progress.
Works are currently under way on just five more and it is estimated that these will yield 187 more bed spaces.
Procurement is under way on a further 18 projects that it estimates will yield accommodation for 945 people.
The figures show that surveys have been received for seven more projects with a combined estimated bed capacity of 238.
The remaining 29 projects are "proceeding to survey," and the department's estimated bed capacity for those plans is 1,236.
In total, the Department estimates that the 64 projects, when completed, should yield an estimated 2,934.
However, a spokesperson for the Department warned that "not all projects may proceed pending survey".
It also said that two other projects were not progressing "due to level of works and associated investment".
The spokesperson said that "new offers are received regularly" and that these would be "subject to a preliminary desktop assessment before progressing to formal survey".
Nevertheless, figures from 31 May detailing "the current delivery pipeline" of refurbished accommodation appear to fall some way short of other recent projections.
On 30 May, chair of the Accommodation Technical Working Group Accommodation Michael Walsh told an Oireachtas committee the ongoing refurbishment works would yield around 2,500 bed spaces by the end of the year and a similar number in the first half of next year.
However, a week-and-a-half later, Taoiseach Leo Varadkar said "we believe that we can provide about 10,000 bed places in refurbished accommodation" between now and the end of next year.
In February, the Department of Housing confirmed that of around 500 buildings originally identified as "potentially suitable for refurbishment last year, 320 were deemed unsuitable for various reasons".
Of the remaining projects, there were more than 60 medium to long-term projects detailed above and 121 buildings that were classed as needing little or no refurbishment work.
These 121 properties were offered for use as accommodation for Ukrainian refugees in 2022 and it was estimated that these would yield more than 5,000 bed spaces, however it has not been possible to confirm how many were ultimately used.