Liz Truss is allegedly planning to significantly overhaul the UK's visa system in a bid to bolster key industries struggling with labour shortages.
The PM will make changes to the "shortage occupation list", the Financial Times reports.
This will allegedly allow certain industries to bring in more staff from overseas, such as broadband engineers.
Her review may also endorse a loosening of the requirement to speak English in some sectors, the newspaper said, citing a Downing Street source.
Today, when asked about the possibility, Chancellor Kwasi Kwarteng said: "It's not about relaxing rules. The whole point about the Brexit debate if we want to go down there was we need to control immigration in a way that works for the UK."
He told the BBC that the home secretary would give an update on the situation in the coming weeks.
"The Home Secretary will make a statement in the next few weeks. But we have to grow this economy," he said.