Coach Neil Doak hailed Ulster's efforts in a 24-9 bonus-point victory over the Scarlets which delivered a first European Rugby Champions Cup win and kept their campaign alive.
First-half tries from Darren Cave and Ruan Pienaar were supplemented by scores in the second 40 minutes by Tommy Bowe, with skipper Rory Best delivering the bonus try.
"We knew what we needed to get done and I'm very happy with that," said Doak.
"Credit to the guys, they stuck at it. When we played territory we put them under pressure and got the scores on the board.
"We got the bonus point and it keeps us in the mix and if we can pick something up (over there) it means the last two games could be in better reach than the first two were.
"A few boys aren't looking good for next week and we'll have to see how they come through over the next 48 hours," the Ulster coach added regarding the injury enforced departures of Stuart Olding, Stuart McCloskey, Franco van der Merwe, Nick Williams and Wiehahn Herbst.
"With the conditions, I thought it was going to be difficult but we had a couple of nice plays off set plays.
"It was key we got the bonus and it gives us a fighting chance next time.
"We talked about getting four wins to at least get us there or thereabouts."
Meanwhile, Scarlets coach Wayne Pivac was very disappointed after the defeat left them bottom of Pool Three ahead of Sunday week's return clash with Ulster.
He said: "We came here with a view to getting the points and a win and made too many mistakes in terms of our defence.
"In penalty count it was probably 16-6 or 17-6 against us and that let us down. And two yellow cards with 14 points in the first one and that hurt obviously and the second one didn't warrant a penalty let alone a yellow card."