The Ceann Comhairle is set to make a statement in the Dáil this afternoon, as opposition parties consider a motion of no confidence.
Both Fianna Fáil and Sinn Fein have delayed a decision on whether Seán Barrett should be asked to resign over controversial remarks last week.
Some sources within Leinster House believe Mr Barrett will now back down and withdraw his controversial remarks from last week - when he accused opposition parties of being "out to get him" and trying to undermine him.
The Ceann Comhairle spoke to Fianna Fáil leader Micheal Martin last night and again today.
He has told a meeting of Fianna Fáil TDs that he wants the matter to be left in his own hands for the time being.
Sinn Fein leader Gerry Adams has also spoken to the Ceann Comhairle, and told him the radio interview last week where he made the controversial comments was "ill-advised".
"I put it to him that his interview was ill-advised, he was rushing to the airport, he was doing this on the hop" he said.
"That he should withdraw his remarks - I actually don't think he's any option but to withdraw those remarks" he added.
And while some on the Sinn Féin side are expecting the Ceann Comhairle to withdraw and apologise for the remarks, it is not known for certain if that is what Mr Barrett intends to do.
He is due to speak to the Dail on the subject at 3:15pm.
Brendan Howlin said earlier the controversy over Mr Barrett's comments last week is now "moving in a direction" and that people "should reflect on their position".
As opposition members continue to weigh up a motion of no confidence, Mr Howlin warned them not to humiliate a democratic office.
In a statement yesterday, the Ceann Comhairle said Fianna Fáil and Sinn Féin are entitled to question his decisions, but maintained that his decision to rule out a debate on the inquiry into alleged Garda malpractice was correct.
He did not withdraw his comments saying the opposition was "out to get him".
Newstalk.com's political editor Shane Coleman discussed the ongoing controversy on Breakfast this morning. He started by saying he does not think there it is important if there are members of Fianna Fáil unhappy with how the party is handling the situation.
Yesterday, Health Minister Leo Varadkar said the Ceann Comhairle should not withdraw his remarks.
Originally posted at 7.41am