Padraig Mac Lochlainn, Sinn Fein Justice spokesperson told Lunchtime today that we could have a motion of no confidence in the Ceann Comhairle.
The Ceann Comhairle is defending his decision not to allow the debate after former Justice Minister Alan Shatter wrote to him over the terms of reference to be debated for the inquiry into the handling of alleged garda malpractice.
"This development is very serious.
"It should be referred to the Attorney General and the High Court judges in question. Their opinion should be sought in the matter."
You can listen to his full interview here:
The Seanad also now looks set to row into the row over the cancellation of a Dáil debate on a Commission of Investigation.
Mr Shatter insisted debating the Commission could threaten his legal action against the findings of the Guerin report.
A letter from Deputy Shatter's legal firm, seen by the Irish Times, told the Ceann Comhairle that the inquiry being set up to follow the Guerin report could threaten his own legal action against the findings of that report.
The Commission of Investigation is looking into the way in which Maurice McCabe's allegations of garda malpractice in the Cavan-Monaghan region were handled by various authorities.
But the letter reveals that Mr Shatter wanted to get its terms of reference changed so that it would not be investigating his own response to those allegations.
Instead, he suggested an alternative terms of reference which would not directly look into his own actions at the time.
The letter reportedly stressed that this was because of legal concerns - and could compromise his own legal challenge.
In the end, his bid was unsuccessful.
But the news that Mr Shatter did not want his own actions looked into, on the matter that forced him to resign, is likely to raise further eyebrows.
Despite the same standing orders on sub judice matters applying in the Seanad, Fianna Fáil Senator Averil Power says they will be pushing for a full debate.
Meanwhile the Fianna Fáil leader says he will be formally writing to the Ceann Comhairle in relation to an attempt by Mr Shatter to cancel the debate.
Michael Martin told Newstalk Breakfast earlier it is fundamental that the Dáil be allowed to debate the inquiries it is establishing.