Minister for Public Expenditure and Reform Paschal Donohoe is set to address the Dáil after Taoiseach's Questions on Tuesday afternoon.
The matter was discussed at a meeting of the Dáil Business Committee this afternoon.
On Tuesday the Minister will speak for ten minutes and each opposition group will have six minutes for a Q&A.
Minister Donohoe will then have five minutes to conclude proceedings.
Earlier, Mr Donohoe said he wanted to make a further Dáil statement in relation to matters raised last night.
He told the Dáil this morning that he would do so at the earliest opportunity and would "revert to the Ceann Comhairle".
He said he wants to "ensure that the information" he is sharing "is as accurate as possible".
In his statement to the Dáil yesterday, Minister Donohoe said that during a review "in recent weeks" he was made aware for the first time that "a personal payment" of €1,100 had been made to workers who put up election posters in 2016.
He acknowledged that he made a "clear mistake" in not including the cost in his election expenses, something for which he apologised.
The expenses were amended on Sunday and given to SIPO, he said.
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Sinn Féin's Pearse Doherty pointed out to Tánaiste Micheál Martin that he had sacked Barry Cowen over his refusal to answer Dáil questions when he was embroiled in controversy in 2020.
He said the situation is comparable to the one facing Minister Donohoe now.
Mr Doherty called on Minister Donohoe to answers Dáil questions in "real time", adding that a statement does not cut it.
He added that others including Leo Varadkar and Helen McEntee had put themselves forward for such questioning during previous controversies.
Mr Martin said he had found Mr Donohoe to be a hard working, honourable and dedicated minister.
He said it is essential that TDs follow the rules around election spending and political affairs.
"That's important, but we need balance and perspective in relation to the issues at hand," he said.
The Tánaiste confirmed that Mr Donohoe would come before the Dáil again, but said there is a "genuine issue" around having a parallel process to SIPO's work.
He suggested there was a "problem" with how the opposition wanted to proceed and he indicated that the Dáil could examine the matter after SIPO completed its work.
Mr Martin said Minister Donohoe had apologised to him on Sunday over the issues that had arisen.
Mr Doherty later said it is completely unacceptable that Minister Donohoe will not appear before the house until next week.
Paschal Donohoe got a 'very good rate'
Speaking on RTÉ's Late Debate, Neasa Hourigan, Green Party TD for Dublin Central and Chair of the Oireachtas Committee on Budgetary Oversight said she had paid for her own election posters to be put up in the same constituency and she said she felt Minister Paschal Donohoe had got a "very good rate" for this expense.
She said Minister Donohoe was not only her Government colleague, but her constituency colleague and she was not trying to have a go at him, but she said support putting up posters in an election was a "significant support".
She added: "If you're somebody who's trying to get elected, we have to keep it at a level playing field."
She said the right place for this to be investigated was SIPO.
Jennifer Whitmore, Social Democrats TD for Wicklow said this was an important political issue as it related to the Minister responsible for SIPO.
"There has to be accountability when it comes to this and a lot of the answers in the statement the Minister gave really stretches the imagination," she said.