Rishi Sunak has reiterated his commitment to Brexit amid reports the government could be seeking a closer “Swiss-style” deal with the EU.

Speaking at the Confederation of British Industry’s (CBI) annual conference, the prime minister said he was “unequivocal” that he would not return to any alignment with EU laws.

“I voted for Brexit, I believe in Brexit and I know that Brexit can deliver, and is already delivering enormous benefits and opportunities for the country,” he added, pointing to having “proper control of our borders” when it comes to migration.

Politics live: Sunak rules out closer alignment with EU

“We weren’t able to do that inside the European Union, at least now we are in control of it,” said Mr Sunak.

But his remarks came shortly after the boss of the CBI, Tony Danker, called on the government to use immigration to solve worker shortages in the UK, saying it must be “practical” on the issue.

Mr Danker told the conference the UK’s labour shortages were “vast”, adding: “It’s time to be honest – we don’t have the people we need, nor do we have the productivity.”

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However, Mr Sunak insisted the UK had “one of the world’s most attractive visa regimes for entrepreneurs and highly-skilled people”, adding: “The country’s number one priority right now when it comes to migration is tackling illegal migration.”

A report in the Sunday Times this weekend claimed some in government were looking at pursuing a new deal with the EU similar to that of Switzerland to try and improve economic ties.

That agreement sees the Swiss have selected access to the single market and removes checks on many goods, but means they are part of the Schengen common travel area and pay into the bloc’s coffers.

Number 10 has fiercely denied the option is on the table, with Housing Secretary Robert Jenrick telling Sky News the government was “going to stick with the relationship that we’ve secured”.

But, he added: “That doesn’t mean that we’re not interested in improving our trading relations with the European Union or indeed in my sphere, our security and migration partnership with the European Union.”

In his speech, Mr Sunak said leaving the bloc means “we can open up our country to the world’s fastest-growing markets”.

He also said the UK could now introduce “regulatory regimes that are fit for the future that ensure that this country can be leaders in those industries that are going to create the jobs and the growth of the future”.

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