The English Champions will be met by an all-international backline featuring four British & Irish Lions and led by inspirational Ireland skipper Brian O'Driscoll.
And O'Connor is fully aware that the individual and collective qualities of the opposition will mean his own men will have to be at their very best if they are to advance to a seventh semi-final.
"Their backline is world class. It could stand up against generations of great backlines and hold its own," said O'Connor, who coached the likes of Stephen Larkham and George Gregan at the ACT Brumbies before moving to Welford Road.
"They've got an incredibly good combination there. They've got a great culture built up over many years. They've played a lot of rugby together and that's invaluable when you get into games like Saturday.
"We've got to make sure we limit Leinster's opportunities, control the ball and get pay off on the back of our good play. They are incredibly calculating in taking their chances. We need to keep those chances to a bare minimum because they are world class in their finishing ability.
"We also need to make sure that we're accurate in the things that we can control. If we do that, I'm sure there will be enough opportunities to get the result. If we don't take those opportunities, each one that slips by makes our task harder and harder.
"We'll be concentrating on trying to create those opportunities and, when we do, making sure we get the benefit on the scoreboard off the back of it."
And while it is Leinster who may have the more experienced names among their backline, Leicester are hardly short of international talent of their own.
The former back-to-back kings of continental rugby can call upon England halfbacks Ben Youngs and Toby Flood to marshall a back division in which only teenage sensation Manu Tuilagi is yet to win senior international honours.
And although the likes of O'Driscoll, Jonny Sexton and Gordon D'Arcy may roll easily off the tongue, O'Connor points to two unsung heroes among the Leicester ranks who he feels will be crucial to his side's chances of progression.
Former Gloucester centre Anthony Allen, capped twice by England and then cruelly discarded four-and-a-half years ago, and ex-All Black and Crusaders star Scott Hamilton have been two of the club's most consistent performers over recent months.
And O'Connor believes that if that particular duo perform at their peak this weekend, then Leicester could be celebrating an impressive away triumph.
"We're pretty confident that when the two backlines line up, although we might not have the same level of experience that the Leinster boys have got, there's enough talent there to cause anyone problems," added O'Connor.
"This is the second season where Anthony's been the lynchpin for us. He really organises his outside backs very well. He controls the defence for us for the most part and if he has a good game on Saturday it'll go a long, long way to helping us get a result.
"Scottie played the bulk of last season at full back with Geordie (Geordan Murphy) out with his shoulder injury. Scottie's won Super Rugby titles, he's won titles with us, he's played a hell of a lot of rugby and he's vastly experienced. He rarely has a bad game for us and I'd be expecting Scotty to have a big one again on Saturday."