The Reds ended Chelsea's 86-match unbeaten home record with a 1-0 success at Stamford Bridge on Sunday.
Alonso's first half goal seals the victory. This ends Chelsea's reign of 86 matches at Stamford Bridge as well as lift Liverpool to the top of the Premier League for the first time under Rafa Benitez's reign at Anfield.
A delighted Rafa believes Liverpool's victory over Chelsea has sent a "massive message" to their Premier League title rivals. "To win here and stay top of the table unbeaten is a massive message for the other teams," declared Benitez.
"It was a massive game and to come here with the mentality we had and with the players showing the character they did, it was a big boost for the rest of the season.
"We have belief, we have quality and we have shown by coming from behind in other games this season, that we have character. At least this is enough to be top of the table for now.
We can go to any stadium and win games. Today, against a very good team, a very offensive team, we showed we were thinking about winning.
"The players know what to do and it is difficult for the opposition to create chances. Chelsea had some chances but their final pass was not the best on occasions.
"They didn't have too many chances. My players were really good and all credit to them. When you have players with quality and they work so hard, you have a winning team," said the esctatic Anfield.