The existing premises are said to be inadequate.
The Education Minister is being asked to fund two new schools in Laois.
Sinn Fein deputy Brian Stanley wants Scoil Mhurie in Abbeyleix and Colaiste Íosagáin in Portarlington to be prioritised as part of the €75 million capital funding announced by the government.
They're home to around 1,300 students at present.
The Laois/Offaly deputy says new premises are badly required: