Baber's side sealed their place in the Heineken Cup quarter-finals by beating Racing Metro on Sunday while current RaboDirect PRO12 leaders Leinster secured a home quarter final with a three-try triumph over Montpellier.
Yet Baber feels that despite being huge underdogs to the two-time Heineken Cup champions, the Blues have what it takes to pull off a shock.
"It's going to be a huge occasion for us going out to Dublin," said Baber.
"Especially after the fact that we went out there earlier in the season and we got a spanking.
"But that's what we're doing. That's what we're in it for."
The Blues have every right to feel more confident going into the next game with Leinster, having won five of their six games in Europe.
Their only defeat of the campaign so far came from a tight encounter against Edinburgh at Murrayfield with Baber insisting confidence is high.
"Let's face it, we only lost once and the performances we put together have put us in this position," he added.
"We met a big, physical Racing side who were on their mettle. We managed to score three tries, but we couldn't sneak a fourth.
"We have got a character and ability about ourselves that manages to win games, and we are working hard as a group to make sure we develop our game."
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