Negotiations between the union and the Catholic Commission for Employment Relations came to an ironic impasse earlier this year when the bodies failed to agree how to best settle disputes.

The Independent Education Union wants the Fair Work Commission to be able to make binding decisions when the two groups can't come to an agreement, but the employer representative body would rather stick to the current deal, where Fair Work can only get involved when both parties sign off on the intervention.

The petition, to be delivered Wednesday, will call on the Archdiocese of Canberra and Goulburn Catholic Education Office to agree to the union's preferred method of dispute resolution and threaten strike action next month if the issue isn't resolved.

Independent Education Union NSW/ACT secretary John Quessy said members were offering the Archdiocese an out from industrial action.

"The union is happy to work with employers to avoid industrial action and finalise an enterprise agreement," he said.

"They just have to consent to the right to arbitration.

"So far, they have put up endless roadblocks to finding a resolution to this process, resorting to expensive and time consuming legal action as a delaying tactic. Now is their chance to set this issue straight."

Catholic Commission for Employment Relations executive director Tony Farley said the body would not budge from its position. It would release its offer for a vote in term four, he said.

Strike action would affect about 1500 teachers across 44 schools.