Rafael Benitez, whilst delighted with the overall team performance, reserved special praise for outstanding keeper Pepe Reina.
With 20 minutes remaining and Liverpool hanging on to their slender 1-0 lead, Reina pulled off one of the saves of the season to keep out Tim Cahill's header and then sprung to his feet to block Marouane Fellaini's follow-up.
It was a key moment in the game as, just ten minutes later, Dirk Kuyt beyond the reach of Everton who had more than matched their red rivals in every department apart from in front of goal.
"When we signed him we knew he was a good keeper and he is improving here," said Benitez of Reina.
"Xavi Valero, our goalkeeping coach, is doing a really good job with him and you can see him improving every day.
"For me he is one of the best goalkeepers in the world and yesterday he showed why. It was a great save. In this situation he was amazing."
Benitez was also pleased with the defensive performance after a second successive clean sheet made it five matches without defeat.
"The team defending was very good and that is another positive thing for the future," said the Spaniard, who believes vice-captain Jamie Carragher is getting back to his best after a shaky start to the season.
"Daniel Agger and Carragher were doing a good job but Mascherano and Lucas Leiva were working so hard in the midfield, helping the defence. Carra is the one who can organise them. He showed character again because, after the beginning of the season, he is doing well again."
Looking at the bigger picture and glancing at the league table, Rafa added: “Always it is important to win and winning games in a row is the key if you want to stay high and in the top four.
"We have to go one game at a time. We have done our job and we have some days to go before Blackburn (next Saturday) so we have to enjoy it and then prepare the team for the next week and hopefully a victory."
Benitez is hopeful of having Fernando Torres back for that game after the striker sat out his fourth successive match because of a groin problem.
"We were testing Fernando on Saturday. He told me he still had a little bit of pain, but he is improving," added the Liverpool boss. "He is progressing and next week hopefully we can test him again."
