Chris Minns has committed to a NSW royal commission into the attack, while calls from Jewish groups and families of those killed in the attack for Anthony Albanese to hold a wide-ranging national inquiry are mounting.
It comes as NSW opposition leader Kellie Sloane called on Mr Minns to request a Commonwealth royal commission that would not be constrained by jurisdictional limits.
"The reality is that many of the questions raised by this attack cannot be fully answered within the confines of a state process alone," Ms Sloane said in a letter to Mr Minns.
Mr Minns said he was focused on changes he believes are necessary for the state and that "politics can wait for another day".
"They've made their decision, I've made our decision," he told reporters in Sydney.
"I"ve also made the decision that we're not going to get into a long public commentary or yell from the sidelines about this terrorism event."
Mr Minns previously linked pro-Palestinian protests to a rise in anti-Semitic incidents in the state, which builds on legislation recently passed that gives police powers to ban street marches.
Asked whether he conflated protests with hate speech, he said he stood by his view.
"It can't be the case that we look and see that words have consequences in all these other aspects of public policy that don't apply for protests on the streets of Sydney, I think they do," Mr Minns said.
Mr Albanese has insisted he is being driven by conviction in announcing an internal probe into the security ecosystem rather than a royal commission.
The review into intelligence and law enforcement will be led by former ASIO boss Dennis Richardson, and will involve looking into anti-Semitism, Mr Albanese said.
Home Affairs Minister Tony Burke has said Mr Richardson is better positioned than a retired judge to look into such matters, and expressed concern a royal commission would "replatform" extremist views.
The report will be finalised by April whereas a royal commission would take years to deliver findings, Mr Albanese noted.
"Our position is not out of convenience, it is out of conviction that this is the right direction to go in," he told reporters on Tuesday.
Mr Albanese said he had been advised by "actual experts" to hold a departmental review, which has been criticised by Opposition Leader Sussan Ley who has called on him to name them.
"None of these agencies have publicly stated this," she told reporters in Albury.
"In fact, senior figures have said that it's highly unusual for our security agencies to advise against a Commonwealth royal commission.
"I would simply appeal once more to the prime minister and his ministers to listen to victims, the victims are the experts in anti-Semitism and anti-Jewish hatred."
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