The flight reportedly departed around 1am on Wednesday, according to flight tracker data shared by campaign group Movement for Justice.
It has been widely reported seven people were on board the plane.
Originally the Home Office planned to deport 90 individuals.
The Jamaican government had expressed their concerns because of Covid-19 spreading.
Karen Doyle, of the campaign group Movement for Justice, worked on the cases of 30 people expected to fly and only three boarded the plane.
She told The Guardian: “When you prioritise the politics and optics of deportation over human life you are going to get gross injustice.”