Only two of the 1.5 million applicants to the Government's European Union settlement scheme have so far been rejected as unsuitable, according to the Home Office.
The EU Settlement Scheme is created to make it straightforward for EU citizens and their family members to stay after the United Kingdom leaves the EU.
Government statistics show that more than 1.8 million applications have been received, and 1.5 million of these have been granted status up to the end of September 2019.
The scheme asks applicants to prove their identity, demonstrate they live in the United Kingdom, and declare any criminal convictions.
The majority of applications (1,704,100) were received from people living in England, while 92,700 were received from Scotland, 29,300 from Wales and 28,700 from Northern Ireland.
The countries with the most applicants were Poland with 347,300, Romania (280,600), Italy (200,700), Portugal (162,500) and Spain (115,700). The Home Office also points out that permanent residence is a status acquired under EU law whereas the EU Settlement Scheme secures the immigrants' status under United Kingdom law.
A series of events to provide information about the scheme are to take place in Tower Hamlets in London, Aberdeen, Glasgow, Nottingham, Leeds and Birmingham, the department said, while there will be more adverts in the coming weeks as part of a £4 million marketing campaign.
In September alone, over 500,000 applications were registered under the EU Settlement Scheme, of which 107,000 came from Poles and 93,000 from Romanians.
They have until December 2020 to apply.
He also said it was unclear what the consequences would be for people who do not apply by the deadline. This includes more than 300 assisted digital locations across the United Kingdom where people can be supported through their application and more than 80 locations where applicants can have their passport scanned and verified.