Rishi Sunak today moved to kill off talk that he is seeking closer ties with the EU.
The PM ruled out new Brexit arrangements that would see Britain following rules from Brussels.
Mr Sunak faces anger from his backbenchers over claims the government wants to move towards a Swiss-style deal, with less trading friction and more migration.
A Brexit-backing former minister warned there was a “lot of paranoia” amongst those who supported Leave.
But speaking at the CBI conference in Birmingham Mr Sunak insisted: "I voted for Brexit, I believe in Brexit.
"I know that Brexit can deliver, and is already delivering, enormous benefits and opportunities for the country,” the PM said.
He argued the country is now able to "have proper control of our borders" and is free to pursue trade deals with "the world's fastest-growing economies".
"On trade, let me be unequivocal about this. Under my leadership the United Kingdom will not pursue any relationship with Europe that relies on alignment with EU laws,” he added.
Downing Street insisted Mr Sunak and Jeremy Hunt were "absolutely" in agreement on Brexit policy, amid speculation the Chancellor is pushing for a softer position.
Earlier, immigration minister Robert Jenrick said it "couldn't be further from the truth" that the UK is looking at emulating the Swiss-EU relationship, and insisted the "fundamental tenets" of the Brexit deal signed by Boris Johnson would not be renegotiated.
A Brexit-backing former minister warned there was still "a lot of paranoia" among Tory Leavers, adding: "They thought it was a non-denial denial."
The ex-minister added: "For some of them it’s not about independence - it’s about who your master is.
"Some MPs who wouldn’t want EU rules would be happy to consider chlorine washed chicken or hormone treated beef if that’s what was needed for a US deal."
The MP said the Swiss model is "better than the Norway model" and suggested Britain could still reach a "partnership agreement" with the EU, but not all at once or as one big event.
They added it would be "better to do that before the next election" rather than Labour entering No10 with no agreement.
Former Brexit Secretary David Davis tonight warned Rishi Sunak’s government will “go pop” if he dared impose a Swiss-style deal.
He told LBC’s Andrew Marr a Swiss-style deal was “unmitigated nonsense” and not “economically viable”.
He added: “I was there for the Swiss deal it was really hard and really difficult. And it wasn't very successful.”
Mr Davis said he rang Chancellor Jeremy Hunt on Saturday night and was told personally it was “completely untrue”.
