Fenway Sports Group, who took over at Liverpool in 2010, have watched Rodgers turn a seventh-placed side into Premier League title contenders in his second season in charge.
"They are absolutely delighted with what they've seen over the past 20 months and we talked about how we can keep the club moving forward because that's vitally important," Rodgers told the Liverpool Echo.
"It's been an ongoing process since I arrived here. We don't want it to be just for this season, we want to sustain it over a longer period.
"That's something that was pretty clear for us all in the discussions we had when I came in. We wanted to establish something that would be in place for a long time."
The Merseyside outfit are currently at the top of the league table, five points above Chelsea with three games left to go.