Tiffany Skeggs - who was allegedly abused by former Launceston General Hospital pediatric nurse James Geoffrey Griffin - said she appreciated the ministers "finally" incorporating apologies into the statements in Question Time on Thursday, but more would be needed.

The pair had faced a full week of questioning from Labor and the Greens who claimed they had groaned to a question asked on behalf of Ms Skeggs in Parliament on March 10. Ms Archer later described being questioned on the issue as "appalling".

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They offered similar apologies when again asked by Labor leader Rebecca White on Thursday, who unsuccessfully moved a motion to censure both ministers.

Ms Archer said the Premier's initial apology still applied to all government members, but she went further and offered her own apology.

"And of course I'm sorry for the impact this has had on Ms Skeggs and other victim-survivors," she said.

"And that's why I wholeheartedly support the Premier's apology. And he did so on behalf of all of us."

Mr Ferguson said he also stood behind the Premier's apology.

"I am sorry for the impact of government members and my reaction on the day," he said.

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"The Premier has already apologised. I associate myself with that. I repeat it. We've always endeavoured, and I have, to respond sensitively and fairly and honestly when this matter has come to my attention."

Ms White questioned deputy premier Jeremy Rockliff on whether ministers would be required to take trauma-informed training as a result.

Mr Rockliff - who led the government in Question Time while Premier Peter Gutwein isolates as a COVID close contact - said all government ministers recognised the trauma associated with "horrific harrowing experiences", but it did not appear further training would be mandatory.

On Wednesday, Mr Gutwein had claimed Labor was "just making it up" in regards to the involvement of Ms Archer and Mr Ferguson in responding to the question from March 10, and said they were targeting the two ministers "erroneously" and were playing politics.

This prompted another scathing response from Ms Skeggs, who said the Premier was the only person playing politics with the issue and that the ongoing failure to get a further apology was further minimising the concerns of herself and other victim-survivors.

She said the apologies were a start.

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"I appreciate Mr Ferguson and Ms Archer finally incorporating an apology into their statements. It is the first of many steps to be taken in remedying this situation," Ms Skeggs said.

"It's now time to move onto the next step and focus on all survivors being heard and supported. The Commission of Inquiry hearings are around the corner and will be profound.

"Reach out, speak up and surround yourself with support. Our time is now. You're not alone."

The Commission of Inquiry is expected to begin holding hearings within months.

Its reporting date was extended until May next year after initially being scheduled for August this year.

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