Liverpool managing director Ian Ayre says there are no quick fixes available.
Principal owner John Henry reiterated his belief that rebuilding the club - both on the field and off it - was a long-term project with no quick fixes.
Despite the progress made under FSG and manager Kenny Dalglish, who revitalised the team when he took over from Roy Hodgson in January, there is still plenty of work to be done to restore Liverpool to former glories.
And Ayre echoed the views of Henry by saying: "There's nobody getting carried away with what can be achieved in what timescale.
"The owners have said they want to win. That means a lot of things.
"We don't want to win once, we want to build consistency."