"We know it's important to start doing better away," said Carragher.
"We've been a bit frustrated away from home this season. Today we scored two goals and didn't concede so that's an improvement. In other games this season we either haven't scored or, when we have, we've only come away with a point.
"This win should give us a lot of confidence now. The main thing was to get the three points and I think we deserved them."
Captain Steven Gerrard agreed: "When I was stepping up to take the penalty I was just thinking about the three points."
"We've improved on the road this season without getting the results, but this is a step in the right direction for us. It's nice to get the three points."