However they are up against it to advance after starting their European campaign off in disastrous fashion, losing their first three clashes.
Victory against French giants Castres has kept their hopes alive while three consecutive RaboDirect PRO12 derby wins have helped lift spirits at the Liberty Stadium.
And Beck is determined to keep their recent run going, while enacting some retribution on Northampton and Leinster in the process.
"We owe Northampton and Leinster," Beck told the South Wales Evening Post.
"We let ourselves down in both games, but especially in the home game against Leinster.
"At the moment we are confident after three big derby games.
"This weekend is a great opportunity for us to turn over a team who are doing well in the English league.
"If we can turn them over at the Liberty Stadium it will show what we are made of."
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