Another Independent TD has said that they will back Simon Harris as Taoiseach in next week's Dáil vote.
Noel Grealish, the Galway West deputy, said he will support the Fine Gael leader, following a meeting this morning.
However, Independent TD for Kildare South Cathal Berry said he is reserving his position on whether or not he will be supporting the new Fine Gael leader in becoming Taoiseach following a meeting this afternoon.
Deputy Berry described the meeting as "positive, constructive and frank" during which he highlighted a number of issues including national security concerns, financial support packages for businesses and a lack of school buildings in his constituency.
The former member of the Defence Forces said there is "no rush" in having to make up his mind.
Mr Berry said he will discuss the outcomes of the meeting with his team and constituents before announcing whether or not he will support Mr Harris in next Tuesday's Dáil vote.
The Government has a slender majority in the Dáil, and therefore has the required support to elect Mr Harris as Taoiseach on Tuesday.
However, more support is always welcome when difficult decisions lie ahead.
Sligo-Leitrim TD Marc MacSharry had previously said he would also back Mr Harris for Taoiseach.
In addition, two other TDs declared their support for the Fine Gael leader.
Dublin Central deputy Neasa Hourigan, who is currently suspended from the Green Party, said she will be backing him.
Donegal TD Joe McHugh, who resigned the Fine Gael party whip over the mica issue, said the same.
There is a possibility of two further TDs backing Mr Harris.
Independent deputies Seán Canney, TD for Galway East, and Matt Shanahan, TD for Waterford, say they are waiting to hear back from Mr Harris about their concerns.