Ulster man of the match Isaac Boss is hoping that Bath can do his side a favour by toppling Pool leaders Stade Francais Paris this weekend.
The French side need to take five points from their fifth round clash to guarantee safe-passage into the last eight, but Boss is hoping the 21-13 victory over Edinburgh will leave Ulster in with a shout when they go to The Recreation Ground next weekend.
"There has been a lot of hype around us going into this game and now there is a chance for us next week. And where there is chance there is hope," said Boss.
"Hopefully, Bath and Edinburgh can do a job for us and we can do the business next week. Bath is a bit of a fortress just like Ravenhill, but it's a great place to go and a great place to win.
"We have been up and down with our performances this season, but it was a big effort in the conditions against Edinburgh.
"Everyone wanted to carry the ball and we worked hard in defence. We worked so hard in the first half yet we were still behind."
Finals Edition: Listen to the best guide to the European Rugby Cup Finals weekend in Dublin, which sees Leinster Rugby take on Stade Francais Paris at the RDS on Friday night in the Amlin Challenge Cup Final and then ASM Clermont Auvergne tackle Toulon in an all-French affair at the Aviva Stadium on Saturday.