The Government is considering holding a referendum to allow it to set up an inquiry into the banking crisis.
Public Expenditure Minister Brendan Howlin told the Financial Times there had not been a full explanation about who was responsible for the collapse of Ireland's banks in 2008.
He said he would also like to see a speedy resolution to the criminal investigation into Anglo Irish Bank.
The banking crisis has cost Irish taxpayers €63bn, but nobody has been prosecuted and there has been no public inquiry.
Minister Howlin told the Financial Times that he has been reflecting on last year's failed referendum which was aimed at giving TDs more power to investigate the banks.
He said he was going to make a determination about whether it could be re-run with some changes to enable a banking inquiry.