Home Affairs Minister Peter Dutton says he does not know whether people charged with serious offences have arrived in Australia under the so-called medevac bill.
The law, passed earlier this year, makes it easier for refugees and asylum seekers on Manus Island and Nauru to seek medical treatment in Australia.
The Opposition and crossbenchers approved the legislation in an historic defeat for the Government.
The Coalition had warned the move would see "a flood of about 300 immediate transfers" to Australia, including paedophiles, rapists or murderers.
But Mr Dutton told Insiders "only just over 30" people had so far been transferred under the legislation.
Asked whether people charged with serious offences had travelled to Australia, he said: "I don't know the answer to that question in terms of the concerns that we have about individuals.
"I think we'll wait and see what happens without sounding alarm bells.
"We don't bring anyone to our country where we can't mitigate the risk."
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