Fianna Fáil TD Mary O'Rourke has called for the 'An Bord Snip Nua' report to be published.
Speaking on RTÉ Radio's Morning Ireland, Ms O'Rourke said a number of backbench TDs had told her that the report should be published and that the public had a right to know.
She said if the report was not published it would work against the Government during the Lisbon Treaty referendum campaign.
The report deals with how to cut costs in the public sector.
It was delivered to the Minister for Finance and is due to be brought to Cabinet next week.
The Special Group on Public Service Numbers and Expenditure Programmes, which is chaired by economist Colm McCarthy, is believed to have identified potential savings of up to €5bn.
Opposition leaders in the Dáil have also called for the report to be published immediately.
Labour leader Eamon Gilmore said the Government had contrived not to receive the report until the Taoiseach was no longer in a position to answer Dáil questions on it.
Fine Gael leader Enda Kenny said if the Government did not intend to publish it, they should have told Colm McCarthy they did not want it until September.
He said the public have a right to know and that holding onto it until after the Lisbon referendum will make matters worse for the Government.
Tánaiste Mary Coughlan said that the Cabinet will consider the report and that a final decision will be made by the Cabinet as to where, how and when the report will be published.
Leader of the Seanad Fianna Fáil's Donie Cassidy has said he supports calls to make public the findings of the report.