Glasgow meet a Leinster side who a week later at Twickenham will be seeking to defend their Heineken Cup title. But the Warriors travel to the RDS with confidence, having won there last September and drawn in European competition at Firhill in February.
Lineen told the Glasgow website: "Leinster's record in both the RaboDirect PRO12 and Heineken Cup these past few years speaks for itself, and you only need to look at the statistics to see how hard it is to beat them. But we have confidence in ourselves, our game plan and each other and while we have huge respect for Leinster, we won't be standing back and admiring them."
He added: "To win, we need every player to be better than they've ever been before.
"That's a big ask, but it's what it will take, and we've every confidence the players will deliver.
"They've risen to every challenge we've put in front of them this season, and this is undoubtedly the biggest yet."