Origi capitalised on a monumental mistake from Everton goalkeeper Jordan Pickford to win the derby in injury time.
"Both teams had chances and a very weird goal".
"We got it and we'll take it, so a brilliant night".
The home side, welcoming former manager Claudio Ranieri back to Stamford Bridge in the Fulham dugout, were quickly into their stride against their neighbours and were ahead inside four minutes.
"Man City had the benefit of playing first this week and we knew they had won, so we didn't want them getting too far in front".
Everton had put in a solid performance at Anfield, and one which has not been seen in many a year, and looked likely to earn a point against a side claiming to have title ambitions, but a rush of blood to the head saw Divock Origi steal in to snatch victory for the home side.
The result was tough on Everton as they had matched their rivals impressively throughout the game and had good chances to score, particularly through Andre Gomes in the first half.
When Virgil van Dijk's 95th-minute volley from outside the area soared into the air, Pickford seemed to have the easy task of making sure the ball went over the bar.
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"I just heard about it but in the last game when we played at Anfield, the atmosphere was insane".
Five of those new faces - Andre Gomes, Lucas Digne, Yerry Mina, Bernard and Richarlison - made their derby debuts at Anfield and, with nearly half of Silva's team taking on Liverpool for the first time, it ensured that they weren't weighed down by Everton's dismal record in this tie.
"It's a special moment, I am enjoying it", Origi told Sky Sports.
Some goals mean more than others and carry a greater significance than what they mean over 90 minutes - or 96 minutes, in the case of this dramatic Merseyside derby.
Liverpool added pressure in the second half through Salah and Mane, with the latter coming close twice to giving the Reds the lead.
Pedro struck early on but Chelsea were unconvincing and were not comfortable until Ruben Loftus-Cheek struck with eight minutes left.
The Blues have lost just one of the 27 Premier League meetings with the Cottagers and are unbeaten in the last 17.
"I think it is clear for everyone we didn't deserve and it was a lucky, lucky, lucky day for Liverpool".