Taoiseach Enda Kenny has said there is no split in the Coalition over the number of refugees that Ireland should accept.
Mr Kenny also said he is not fixated on the number that should be accepted, despite recent speculation over what the figure should be.
Speaking in Dublin, Mr Kenny said he did not want to get bogged down in the statistics as the issue is about humanity and is a global problem and challenge, and Ireland will play its part.
Mr Kenny said he would organise a special Cabinet meeting later this week to deal with the migrant issue and make decisions on it.
Tánaiste Joan Burton has said she expects the number of refugees that Ireland will accept will increase to the figure of 5,000 she referred to yesterday, but added that it will be over a number of years.
Asked today if there was a difference of opinion between Labour and Fine Gael on the issue, the Labour leader said the numbers of refugees that Ireland accepts would build over time when family reunification was taken into account.
She said the Government would set out a framework at the Cabinet meeting tomorrow and at a subsequent meeting on dealing with people coming to Ireland.
Ms Burton added that she had set out her own anticipation of the numbers involved based on her past experience in the area as development minister.
Last week, Minister for Justice Frances Fitzgerald raised the possibility of Ireland agreeing to accept 1,200 more people than first envisaged two months ago, indicating that the final figure may be 1,800.
However, Ms Fitzgerald said nothing had been finalised.
Sinn Féin has accused ministers of making up policy on the hoof and claimed that this was sending out confusing and contradictory signals as to what the Government was prepared to do.
The party said that it was only because of the huge outpouring of sympathy for the plight of refugees from Irish people that the Government had sought to respond.
The Government is expected to decide in the coming days on the number of migrants Ireland is to accept.
The measure is among many being taken across the European Union to resettle people who have fled their homes in African and Middle Eastern countries.
Ms Fitzgerald is due to bring a memorandum to the Cabinet tomorrow, setting out the proposed measures to accommodate refugees.
Elsewhere, European Parliament president Martin Schulz has said he believes that EU members will agree to binding quotas for accepting migrants this week, despite earlier strong opposition from some countries.
Speaking to RTÉ, Mr Schulz said he believed the proposals, which are due to be presented to the parliament tomorrow, will be accepted because they offer a pragmatic solution.
He said he had told the Hungarian prime minister that his country would get relief under the proposals which take into the account the country's GDP and the existing number of refugees in a country.
He also said the overwhelming majority of citizens are arguing for compassion.
Asked about Ireland's role, Mr Schulz said his experience was that Ireland was a country looking for pragmatic solutions.
He also said there was no need for changes to the Schengen Agreement, but rather a commitment was needed from member states to apply it.