A proposal to end the practice of bowing to the Ceann Comhairle will be considered by the Dáil Reform Committee today.
TDs typically bow to the Ceann Comhairle when they are leaving the Dáil chamber.
But Sinn Féin has called for this tradition to be discontinued given that "all citizens are equal."
The committee will also discuss a Labour proposal to end the daily Dáil prayer which is read out at the beginning of the day's business.
It is followed by 30 seconds of silence.
The party said that instead of the prayer there should only be 30 to 60 seconds of silent reflection to recognise that some TDs may have no religion or a non-Christian faith.
Labour believes the change would allow TDs to freely pray in private should they wish to.
Aontú Leader Peadar Tóibín said that the silly season has been brought forward a week.
"At a time when the exporters are facing an existential threat, at a time when 16,000 people are homeless. When the cost of living is crucifying families, Sinn Féin is raising an objection to the practice of TDs nodding to the Ceann Comhairle and Labour are looking to delete the pluralist approach to the Dáil prayer," he said.
"Aontú will be using our Dáil time this week to focus on the real issues of concern to people."
