The Taoiseach will consult with opposition parties early next week to finalise legislation aimed at allowing the inquiry into certain IBRC transactions continue working.
Speaking on RTÉ's The Week in Politics Minister for Public Expenditure and Reform, Brendan Howlin, said every member of Government was determined to reveal the full truth about IBRC and Siteserv.
However, Fianna Fáil's Sean Fleming claimed that Fine Gael does not want affairs about Siteserv to come out and Labour was toeing the line on this.
It is understand the draft legislation the Taoiseach will circulate to the opposition in the coming days will deal with the issue of confidentiality, which has hampered the work of the inquiry so far.
The Taoiseach has also extended the Commission of Investigation's deadline to April next.
In December Mr Kenny told the Dáil he was opened to the idea of a more targeted inquiry and some €3m had been allocated to fund the Commission's work this year.
However, the TD who first raised these issues, Catherine Murphy, said she believes the inquiry is not Mr Kenny's top priority.
She accused him of being abrasive when discussing the issue at a meeting with opposition TDs in recent weeks.