Dutton has previously confirmed that the men had been accused of 161 offences, including sexual assault, which had been referred to the Papua New Guinea police.
Ardern gave reassurances this morning that any men coming to New Zealand from Manus Island would go through a series of security checks.
"We make sure that whenever we are taking refugees that we screen them ourselves. We make sure they are bona fide refugees," Ardern told Newstalk ZB.
"We make sure that by and large, keeping in mind that people have been through horrific circumstances, that we are making sure we're picking up people of the highest need."
She said the offer was genuine and still on the table, but it was up to Australia whether it was going to be accepted.
Opposition leader Bill English has questioned whether Ardern has pushed Australia too far, given that Australian authorities also protect New Zealand from boat people.
But Ardern rejected the notion that she had overstepped the mark, saying relations with Australia remain strong.