He made the claims on Sky News on Wednesday, and also said Opposition Leader Bill Shorten should say immediately whether he supported what is officially known as Telecommunications and Other Legislation Amendment (Assistance and Access) Bill 2018.
Dutton said there had been a bid to delay and obfuscate the process of bringing the government's encryption bill to a vote on the floor of the House.
He said he had spoken to Liberal MP Andrew Hastie, the chair of the PJCIS, about ways in which the committee could deal with the bill in an "expeditious way so that the Parliament could deal with it as soon as possible".
But, he added, this did not mean that it would give the government a "blank cheque" on any legislation.
The draft bill was released for public consultation on 14 August and comments were accepted until 10 September. Thereafter, there have been two hearings before the PJCIS, on 19 October and 16 November. Further hearings are scheduled for 28 and 30 November and 3 December.