Leinster have reached the semi-final stages of the last four tournaments while Ulster only made it to the knockout stages for the first time since 1999 last season.
Reddan and co also have an incredible recent record against their Heineken Cup Final opponents having lost just once in their last 17 meetings.
But while the odds may appear stacked in Leinster's favour, Reddan insists they won't be paying any attention to the bookmakers in the build up to the biggest game of the year.
"We have our own standards and aims going into games and it doesn't really matter who's the favourite and who's not," said Reddan, who knows what it feels like to win Europe's greatest prize as an underdog having stopped Leicester Tigers clinching an historic treble with London Wasps back in 2007.
"Our coaches are honest in telling us what we need to deliver and we're very aware of what we need to do.
"It'll be no different for the final - we'll all have our jobs to do and we'll have to go out and do them to the best of our ability to win the game.
"I've played in a Heineken Cup Final at Twickenham before and that was great. As usual in the Heineken Cup though, no matter how far you go, it only feels like you're halfway there.
"We've got a massive test coming up with a derby against Ulster at Twickenham. Hopefully we can go there and produce a good performance and get a good result."
Leinster reached a second successive final thanks to a nerve-wracking 19-15 win over ASM Clermont Auvergne in Bordeaux a week-and-a-half ago as a Cian Healy try helped them overcome a 12-6 half-time deficit.
Only a knock on from Wesley Fofana while the French centre was in the process of reaching for the try line prevented Leinster's Heineken Cup defence from coming to a disappointing end, however, and Reddan admits he and his colleagues were particularly relieved to have it made it through to Twickenham.
"The feeling was probably one of relief. I think we were pretty lucky," added Reddan.
"They crossed our line and dropped the ball so we've got to count ourselves lucky in that regard.
"Clermont are a team that, if you're defending a lot, they're going to put you under pressure. You need to keep parity in terms of possession.
"The best way to defend is to keep the ball in attack, especially against a team like Clermont. You can't just defend phases against them because they'll score so we probably got out of jail.
"We were six points down but we knew we could get back into the game, and we did.
"We managed to string a few phases together in the second half and that helped us. We also nicked a few penalties which put us in a position where they were going to have to score a try.
"After that, it wasn't a case of just hanging in there because we went after them and tried to score again. But they held out well and then it was our turn to hold out at the end - thankfully we did.
"We put everything into it and sometimes luck favours you. Away from home, it was really good result."