The Home Office has lost a Court of Appeal bid to challenge a High Court ruling granting an Eritrean man a temporary block on being deported to France.

The ruling will be a blow to ministers, who had been hoping to make headway with their “one in, one out” migrant returns deal with France.

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Under the deal, the UK can send back any migrant who crosses the Channel illegally in return for accepting the same number of migrants in France who have a valid asylum claim here.

However, only four people have been deported under the scheme so far, including one Afghan individual who was deported to France this afternoon.

The Eritrean man was granted a temporary block on his removal after he claimed he had been a victim of modern slavery.

The government has said up to 50 people a week could be deported under the scheme initially, but it believes numbers would grow and eventually act as a deterrent to those considering making the dangerous journey across the Channel.

Last Friday saw more than 1,000 people cross the Channel to the UK in small boats – the day after the first migrant was deported under the “one in, one out” deal.

The latest Home Office figures show 1,072 people made the journey in 13 boats – averaging more than 82 people per boat. It means the number of migrants arriving in the UK after crossing the English Channel has topped 30,000 for the year so far.

Shabana Mahmood, who was promoted to home secretary in the prime minister’s reshuffle earlier this month, has accused migrants who try to block their deportation of making a “mockery” of the UK’s modern slavery laws.

She has vowed to do “whatever it takes” to end crossings – but the Conservatives have branded the “one in, one out” deal with France “meagre” and have called for their Rwanda policy to be reinstated.

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Chris Philp, the shadow home secretary, said: “Yet again the courts have stepped in to block a deportation, proving what we warned from the start, unless you tackle the lawfare strangling Britain’s borders, nothing will change.

“This is nothing but a gimmick. Even if by some miracle it worked, it would still be no deterrent, as 94 per cent of arrivals would still stay.”

Meanwhile, Reform UK has promised to crack down on both legal and illegal migration.

Last month, party leader Nigel Farage outlined plans to deport hundreds of thousands of illegal migrants in the first parliament of a potential Reform UK government.

On Monday, he announced fresh policies to reduce legal migration, saying his party would ban access to benefits to migrants and get rid of indefinite leave to remain – the term used to describe the right to settle in the UK, with access to benefits, after five years.