The chief executive of Ofcom agrees with Lord Carter that everybody in the country should have the right to broadband access.
BT is currently obliged to supply all British households with a landline under a universal service obligation (USO).
In his recent Digital Britain report, communications minister Lord Carter said that this should also apply to broadband services with connection speeds of up to at least 2Mb.
Speaking at the London School of Economics, Ofcom's Ed Richards threw his weight behind the proposal.
He commented: "I think a broadband USO will make a significant contribution to filling in those gaps of availability and speed for a good basic level of service and this is a priority.
"There is almost no overstating how important it is to make sure we have the right circumstances for the next generation of broadband."
Despite Lord Carter's commitment to supplying the whole of the UK with broadband services, some critics have argued that the 2Mb minimum is too low when compared with connections enjoyed in other countries.