Home Secretary Shabana Mahmood is expected to announce her final decision on immigration rules for legal migrants next week.
She had proposed to extend the wait for permanent settlement from the current five years to 10 with some lower-paid migrants facing a 15-year wait. The BBC understands the proposals are likely to be revised for most of those currently working in social care.
The home secretary was concerned about the number of people who would be eligible for permanent residency after a period of very high net migration under the previous government.
Mahmood has faced opposition from within the government for proposing to impose new rules on migrant workers already in the UK.
Before she rejoined the cabinet, Housing Secretary Angela Rayner described the proposals as "un-British" because they sought to change the rules for people who had come to the UK in good faith.
In particular, many lower-paid social care workers were facing a wait of up to 15 years rather than five.
But the BBC understands…