Fianna Fáil is calling for an independent review of whether the Garda Commissioner should be removed from her job.
It's to table a Dáil motion asking the watchdog to consider making a formal plea for the Commissioner to step down.
A Garda Commissioner can only be removed from office after a Government decision, and only for stated reasons, but the Authority also has the power to make a formal recommendation to Cabinet about her position.
The call will be debated next Tuesday night, with a vote on Thursday - the same time as a vote on a Sinn Féin motion of no confidence.
Sligo Leitrim Sinn Fein TD Martin Kenny, however says the Fennelly report raises more questions than it answers.
He says the fact that phone-calls were being recorded without the knowledge of senior management within the force shows a lack of responsible management which must be addressed.
