Prime Minister Theresa May will seek to reassure Caribbean leaders later that the Windrush generation will not be deported over paperwork issues.
The government has apologised after it emerged that some people who arrived from the Commonwealth decades ago as children were now being incorrectly identified as illegal immigrants.
The home secretary has announced a new taskforce to help those affected.
Mrs May will talk to the leaders at a Commonwealth meeting in London later.
On Monday the prime minister reversed her decision not to meet leaders to discuss the Windrush issue, which was raised by MPs from across the House of Commons in an urgent question session.
Labour's David Lammy said that it was a "day of national shame".
Thousands of people arrived in the UK as children in the first wave of Commonwealth immigration 70 years ago.
They are known as the Windrush generation - a reference to the ship, the Empire Windrush, that brought workers from the West Indies to Britain in 1948.
Under the 1971 Immigration Act, all Commonwealth citizens already living in the UK were given indefinite leave to remain.
However, the Home Office did not keep a record of those granted leave to remain or issue any paperwork confirming it, meaning it is difficult for the individuals to now prove they are in the UK legally.
Changes to immigration law in 2012, which requires people to have documentation to work, rent a property or access benefits, including healthcare, has highlighted the issue and left people fearful about their status.