Home secretary Amber Wood this week formed the unit to provide help and support to people who came to the United Kingdom before 1971 as part of the so-called Windrush generation, but who are now having their immigration status challenged under the Immigration Act 2014.
A top MP has claimed the Home Office should be doing "much more" to get a grip on the Windrush immigration row, as the number of confirmed cases being investigated passed 200.
"I don't think it's enough for the Home Office to say "you call us", they should be actively reviewing all of the cases that they have in the system to make sure they're not unfairly and wrongly pursuing people who have a right to be here".
Abbott, along with Labour leader Jeremy Corbyn, was one of only six Labour MPs to vote against the 2014 Immigration Act, which contains some of the restrictive policies which led to the Windrush scandal.
These people are British.
He has since been given leave to remain, but is still waiting for legal paperwork to confirm his right to stay.
"The destruction of landing cards from those arriving as part of the Windrush generation, making it harder to prove their point of entry into the United Kingdom, is the latest in a long list of government failures these people have endured over a long period of time".
Thousands of people who have lived and worked in the United Kingdom for decades have been harassed by the government.
But despite having been in the United Kingdom for most of their lives, many have begun to experience issues as a result of tightened immigration requirements.
As many as 50,000 are thought to be experiencing difficulties in finding work, getting NHS care, accessing benefits, or trying to secure housing.
It has seen some - who might never have felt the need to apply for a United Kingdom passport before - left without the documentation now required by officials.
There are even fears some may have been deported in error.
Home secretary Amber Rudd.
The Home Office says the cards were not definitive proof of continuous residence in the United Kingdom - it says things like employment and school records were a more reliable method.
There is absolutely no question about their right to remain and I am very sorry for any confusion or anxiety felt.