Asked to define "likelihood" and give an idea of time frames, Ms Adams said there "was a process and a programme we're keen to advance".
"Cabinet has confirmed the process is now open and we're excited to work with communities, councils and suppliers."
Mr Key said that while the wider roll-out of broadband to more remote regions was announced last year, it is now about furthering the process.
He reiterated that progress relied on strong partnerships between the government, local government authorities, education, health, iwi and business sectors.
In particular, some local governments had made a stronger case than others, Ms Adams said. Far North mayor, John Carter was a good example of a community leader who had pushed for better broadband facilities to help move the district forward, she said.
Mr Carter, a former longstanding National MP for Northland, was in the audience. Ms Adams said improved broadband and phone coverage would be of great advantage to health workers and educators in remote places.
The audience was largely made up of business leaders, health workers, local government authorities, educators and students, sectors that have often lobbied for better services in Northland.