Green Party leader John Gormley has said he will press for further measures in the National Asset Management Agency legislation which would promote a 'social dividend'.
Mr Gormley said this was in line with the desires expressed by Green Party members at a special meeting at the weekend.
Speaking about the gathering to consider views among rank and file Greens to NAMA, John Gormley said there was 'a lot of satisfaction' expressed for amendments which have already been put in place.
The Greens last week claimed credit for changes to the legislation, including a way that risks could be shared between banks and the State.
80% of those who attended the weekend gathering said they preferred a modified version of NAMA and Minister Gormley says the Greens can 'get those changes' which the party membership is looking for.
Speaking on RTÉ's Morning Ireland, Green Party Finance Spokesperson Dan Boyle said party members had concerns about transparency in relation to the value of properties.
NAMA will take more than €90bn worth of debt from Irish banks so that they can be encouraged to start lending again.
The legislation will come before the Dáil later this week.
Sinn Féin seeking NAMA referendum
Elsewhere, Sinn Féin is to attempt to force a referendum on NAMA.
The party's finance spokesman Arthur Morgan is asking TDs and Senators to sign a petition to President Mary McAleese calling for a referendum on the issue.
Under Article 27 of the Constitution, the President can refuse to sign a Bill into law if a majority of Senators and a third of TDs address a petition to her suggesting that it is of 'such national importance that the will of the people thereon ought to be ascertained'.
Northern properties could be transferred to NAMA
Elsewhere, Northern Ireland properties worth almost €5bn could be transferred to NAMA.
Northern Ireland's Deputy First Minister Martin McGuinness said this was the estimate provided by Minister for Finance Brian Lenihan during a North/South ministerial meeting in July.
All the main banks, including AIB, Bank of Ireland and Anglo Irish Bank, have a presence in Northern Ireland and many developers from the Republic have substantial investments north of the border.
Concern has been expressed in Northern Ireland that huge amounts of Republic-owned property could be dispensed with in a fire sale by NAMA.
However, Northern Ireland's Finance Minister Sammy Wilson said at Stormont this morning that Mr Lenihan had assured him there would be no such fire sale when they met in Dublin last week.