Benitez, who had an ill-fated spell in charge of Inter Milan after they won the competition, admitted it was "normal" for teams to lose some of their hunger the following season.
He said: "It's like, 'Okay, we have done the most difficult thing'.
"It changes a little bit the perception, changes a little bit the approach for the next competition.
"That is the difficult thing, to manage the hunger of the players and the hunger of the staff.
"It's part of our job to push them and try and try to keep the competition."