The three-time champions battled their way to a scrappy 36-3 win over 14-man Ospreys at the RDS last night.
The bonus-point victory saw them top Pool 1 but with a total of 22 points they must now wait to see if they've done enough to claim a home quarter-final.
Meanwhile, Connacht and Ulster are both in action today.
At 1:35, Connacht go in search of a win at Saracens that would still leave them with an outside chance of escaping from Pool 3.
At the same time in the same Pool, Toulouse are away to Zebre, looking to claim a home quarter-final.
And Ulster are involved in a Pool 5 decider at Welford Road this evening.
Mark Anscombe's side are unbeaten but travel to the Leicester Tigers with just a 2 point cushion over their hosts.
The winner will take the top spot and a home quarter-final.
Elsewhere, Montpellier host Treviso, with both matches underway at 6pm.
Also this afternoon the final round of Pool 2 games will see the Cardiff Blues host Exeter and Glasgow facing defending champions Toulon.
Both kick-off at 3:40.