Mr Dutton said Australians should be "white hot with anger" after their sensitive information was stolen by hackers.
Attorney-General Mark Dreyfus earlier this week said the government is seeking to put legislation to the lower house by the end of this year.
But this was slammed as being too slow by the coalition.
"It should have been in the parliament this week, the government was aware of this problem," he told Nine on Friday.
"I think 10 million Australians should be white hot with anger that their information was compromised, and the home affairs minister went missing for three days."
The telco is also being pressured to cover the cost of replacement passports and other documents stolen in the data breach last week.
The opposition has called for the government to unfreeze "critical" cyber security funding, which is being reviewed along with other industry grants given by the former Morrison government.
More than $60 million in cyber security training grants have been withheld.
Opposition industry spokeswoman Sussan Ley said delaying funding from the Cyber Security Skills Partnership Innovation Fund was inexcusable.
"Labor have already been forced to retract unfounded political attacks on other initiatives which supported some of our most critical sectors to boost sovereign capability – and now his failure to support our cyber security industry has left our country weaker," she said.
Deputy Prime Minister Richard Marles labelled the breach a "wake up call" for the corporate sector.
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