Britain will prevent illegal migrants from staying in the country, Prime Minister Rishi Sunak said in an interview published Sunday, ahead of new legislation which is expected to be set out next week.

Under pressure from his own lawmakers to find a solution to the flow of migrants arriving in Britain across the channel from Europe, Sunak has made stopping small boats one of his five key priorities.

"Make no mistake, if you come here illegally, you will not be able to stay," Sunak told the Mail on Sunday newspaper.

A new law to tackle the issue is due to be set out on Tuesday, the newspaper reported, after more than 45,000 people made the perilous crossing last year.

Last year, former Prime Minister Boris Johnson agreed on a deal to send tens of thousands of migrants, many having made the journey from Afghanistan, Syria, or other countries suffering war, more than 6,400 kilometers away (4,000 miles) to Rwanda.

The policy has faced a legal battle after the first planned deportation flight was blocked by a last-minute injunction granted by the European Court of Human Rights. It was ruled lawful by London's High Court in December, but opponents are seeking to appeal that verdict.

Asked on Sky News whether those arriving in Britain illegally would be banned from claiming asylum, government minister Chris Heaton-Harris said: "I believe so, yes."

"Should people come to this country illegally then they will be returned or sent to somewhere like Rwanda."

Asked about how genuine asylum-seeks would be able to seek refuge, Heaton-Harris said: "I'm quite sure there will be more safe and legal routes."