There's a call for a proposed COVID-19 Dáil committee to have the power to 'scruitinise' all Government departments.
Following a decision by the Dáil Business Committee, a dedicated coronavirus committee is expected to be set up next week to examine the ongoing response to the crisis.
It follows pressure from opposition TDs who want more scrutiny of decision-making during the pandemic.
Speaking on The Hard Shoulder, People Before Profit TD Richard Boyd Barrett said all areas of society have been impacted by the crisis, and that a COVID-19 committee has to be able to cover every department.
Deputy Boyd Barrett argued: "The COVID crisis is affecting everything - it affects transport, art, health, sport, education...
"We need to be able to have scrutiny of all Government departments... where we can have scrutiny of those decisions and genuine back-and-forth questioning done in public, so that the public and the media can view it.
"Instead we've been having these private briefings with ministers and party leaders... where there's no record of anything."
The People Before Profit TD is also calling for all the advice being given to officials about the pandemic to be published, saying he's yet to get access to the documents despite asking on numerous occasions.
He said: "We should be able to see the scientific, medical and expert advice on all of these matters - and [the Government] just refused to give it to us.
"If you are doing fairly drastic things like the Government are doing - most of which I think are necessary in order to protect public health - you need to explain the rationale for those things.
"You need to have an open and transparent system of decision making in order to keep the confidence of the public... we just haven't had that."
Minutes of the National Public Health Emergency Team (NPHET) meetings are being published.
However, Deputy Boyd Barrett argued that the public also needs to see all the expert advice that is being given to the NPHET and which influences their recommendations to Government.
He suggested: "I'm not saying there's a big divergence between what the expert advisory group are saying and what NPHET are deciding... but there could be, and we need to know what that expert public health and scientific advice is."
