Steven Gerrard scored two goals while Maxi Rodriguez and Ryan Babel scored one each.
Benitez told Sky Sports: “It was a good game, especially the second half. We scored four goals, a clean sheet.
“So (I’m) really pleased and really positive.
“They (Burnley) had one clear chance, they were pushing. We had one or two that we didn’t finish but at the end the first goal was the difference.”
Benitez added, when asked what he told his team at half-time: “Score goals, simple. I think the first goal was the big difference.
“We were a little bit lucky and after we were playing better and better and it is difficult for a team that has to score and has to win.
“They have to go high, they leave more spaces and it was easy for us.”
