"Our police, our agencies need these powers now," Morrison said on Thursday.
"I would insist on seeing them passed before the end of the next sitting fortnight."
Speaking alongside Morrison was Home Affairs Minister Peter Dutton, who said it was unacceptable for police to be unable to read encrypted messages.
"I would call on all members of the committee to do what they can to deal with this matter in an expeditious way, because we do want to arm the police with the ability to look at these encrypted messages," Dutton said.
"I think there is a common-sense approach here. I think the government has crafted that common-sense approach, but it can only be enacted if it is supported in the Senate," Dutton told the National Press Club at the time. "We can't have on key national security Bills, compromises, because we're dealing with five or six or eight different senators all with different motivations, and pulling in every direction."
Dutton said Opposition Leader Bill Shorten needs to decide whether he is on the side of Silicon Valley multinationals or with "law enforcement and intelligence agencies in this country who want to protect Australians".
The Home Affairs minister added that tech giants need to be hounded to pay more tax in Australia, as they have breached user privacy for commercial advantage, and are protesting moves that will force them to help law enforcement in Western countries while simultaneously doing business in authoritarian growth markets.
"It is essential. Given we are talking about nine out of 10 national security investigations now being impeded because of the use of encryption, we need to deal with it. It doesn't go as far as some people would want, but it is a measured response," he added.
Industry groups calls for PJCIS to resist pressure
After Morrison's and Dutton's press conference, a statement from the Australian Industry Group, Australian Information Industry Association, Australian Mobile Telecommunications Association, Communications Alliance, DIGI, Information Technology Professionals Association, Internet Australia, and IoT Alliance Australia was released, calling for the Joint Parliamentary Committee on Intelligence and Security to resist government pressure.
"There is a need for cool heads to prevail, accompanied by detailed analysis of the impact on Australians and Australian businesses, and for law makers to approach this important task systematically while following due Parliamentary process," Internet Australia Chair Paul Brooks said.
Kishwar Rahman of the Australian Information Industry Association said the committee needs to be given time to assess the material presented to it.
"We all understand that the issues here are real -- and that is why it is so critical that we get this right," Rahman said.
"A rushed and flawed piece of legislation is laden with the potential for unintended consequences that could act to the advantage of criminals and terrorists and to the disadvantage to Australians and Australian industry."