There are currently 50 units on site, with a target of 62 expected to be met in the coming weeks.
Nine additional rapid-build units for Ukrainian refugees at a former midlands army barracks are set to come on stream shortly.
There are currently 200 Beneficiaries of Temporary Protection being housed in 50 units in Columb Barracks in Mullingar.
The Department of Integration says there are a further 12 units yet to come on stream - nine of those will be completed in the coming days, with snagging work to be carried out afterwards.
The remaining three are a few weeks away yet, as adaptations are being explored to determine if they'd be suitable for families with a disabled adult or child.
The Department also says there are no plans to relocate anyone from the site for the foreseeable future.
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