The prime minister's comments come amid speculation that the proposals, which would extend the qualifying period for indefinite leave to remain for foreign care workers from five to up to ten years, could be watered down to avoid a Labour rebellion.
Mr Burnham said the government would 'come forward with our decisions soon' following a consultation, adding that he 'strongly supports' the home secretary's principle that settlement is a 'right to be earned'.
The reforms have caused tension within the cabinet. Housing Secretary Angela Rayner earlier this year publicly criticised the prospect of backdating the plans. This week, Energy Secretary Miatta Fahnbulleh repeatedly refused to express support for the proposals in a Sky News interview. Ms Fahnbulleh later deleted a social media post criticising attempts to 'prolong the time people have to wait for settlement' and issued a statement saying she 'fully supports' the home secretary and the government's position, describing her earlier remarks as a 'light-hearted self-deprecating remark'.