The premises had already been offering 88 beds to BOTPs.
A former Offaly boarding school is set to accommodate a further 142 Ukrainian refugees.
Inchmore House in Clara already offers 88 beds to Beneficiaries of Temporary Protection, as part of a deal struck with the Department of Integration.
However, phase two of the project will see that total increased to 230 from early this month.
In a briefing note to politicians, the Department says a contract has been agreed for a period of two years.
A protest was held in the town last year, when the first phase of the project was announced.