Nearly 3,700 people have been issued with British citizenship under a Home Office scheme set up in response to the 'Windrush generation' controversy.
From May last year, members of the 'Windrush generation', their UK-born children, and those who arrived in the country as minors have been able to apply for citizenship free of charge.
By the end of January, 3,674 people had been granted citizenship.
Ministers faced a furious backlash over the treatment of members of the Windrush generation, named after a ship that brought people to Britain from the Caribbean in 1948.
Commonwealth citizens who arrived before 1973 were automatically granted indefinite leave to remain but many were not issued with any documents confirming their status.
A public outcry erupted after it emerged that long-term UK residents were denied access to services, held in detention or removed despite living legally in the country for decades.
The latest statistics show that as of 31 January, 597 applications made under the Windrush scheme had been rejected.
British Home Secretary Sajid Javid said the majority of requests have yet to be concluded, adding that all of the cases have had lengthy and detailed consideration.
Last year the British government apologised over 18 cases where people were considered most likely to have suffered "detriment" because their right to be in the UK was not recognised.
Ministers are also preparing to set up a compensation scheme for those affected by the failings.