Communications minister Lord Carter is said to be considering making broadband provision a legal requirement.
Currently BT is obliged to supply every home in the UK with a basic internet and telephone service.
Lord Carter is said to be considering extending this legal obligation to high-speed internet services, reports the Times.
While launching a review of government policy on media and communications - entitled Digital Britain - Lord Carter told the newspaper: "Clearly, this review is only just beginning, but you've already seen the government inject public money in that specific targeted instance."
A government review into a next-generation broadband network conducted earlier in the year concluded that the market did not need large-scale public investment into the service.