But after reaching five consecutive finals in five years the club failed to reach the play-off stage this season.
Leinster then decided to part ways with head coach Matt O'Connor and Reddan admits the team must be ready to step up their game by the time his replacement takes the helm.
"We've got a great group of players in Leinster, from top-to-bottom," he told the Irish Independent.
"Going forward, I have full confidence that group can deliver if we up our own standards.
"We're going to need to give more to the guy coming in than we gave to Matt this year.
"It is important for players to be managed properly throughout the year. It is very important, particularly with a World Cup coming up.
"The question is, as a club, do you still feel you can win trophies? We certainly do.
"Even with all those problems we had this year, in terms of form or injuries or players not being available, we still were in the semi-final of a Champions Cup and we nearly won it."
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