Newcastle East Public School parents are petitioning the state government to allow an independent audit of all building work done at the school in recent months.
It follows the discovery of asbestos in a roof cavity of the school's heritage building while an asbestos tile roof was being replaced during the Christmas break.
Parents were advised of the discovery and the associated contamination risk on the first day of school.
Education Minister Sarah Mitchell apologised to parents for the department's handling of the matter.
Despite ongoing assurances from the department that the school is safe, many parents remain dissatisfied with information about how the project was handled, the clean-up process and the level of ongoing risk to students.
"A lot of people are still in shock at what has gone on," Parent Meaghan McGregor
Three families have already withdrawn their children from the school over concerns about the building's safety.
"It is basically still a worksite. I wasn't satisfied that my child was safe," one parent said.
The Newcastle Herald understands several other families have made inquiries about home schooling options until work is complete.
Ms McGregor said the petition reflected an underlying concern that key information about the removal of asbestos in the heritage building had been withheld.
"We are calling for an independent environmental audit, access to the site and raw data which has not been handed over despite a promise of transparency," she said.
"We have legitimate safety questions - is the school safe? Is there ongoing exposure, what is the historical exposure?"
"We don't have the information to make an informed decision. We don't even know if the Super 6 (asbestos sheeting) is the only fibrous source of contamination."
A Department of Education spokesman said the Newcastle East Public School community had been assured that the school was safe for students, based on the evidence of qualified independent hygienists.
"The school is happy to discuss any concerns any families may still have, to reassure them that their children can continue to receive an excellent education at Newcastle East."
The chair of the Asbestos Diseases Research Foundation Peter Tighe has encouraged concerned parents to consider listing their children on the federal government's asbestos exposure register as a precaution.
Meanwhile, the school is hosting parent information sessions this week.
The sessions, to be led by a psychologist will help "understand and explore common responses to critical incidents."
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