Having been on top for much of the half, Chelsea would have gone behind before the interval but for two excellent saves in as many minutes by keeper Willy Caballero, who dived to his left to tip away a strike from Naby Keita and kept out a header from Sadio Mane.
Keita, who was the brightest of Liverpool's forwards in the first half, drew a brilliant save from Caballero as he cut inside onto his right, as the game came closer to an opener. On that occasion, Jurgen Klopp rested his key players and discovered that the depth of his squad was a weakness that would stop Liverpool winning trophies.
Liverpool have come a long way since they were dumped out of the Carabao Cup by Leicester City at the same stage last season.
Can Chelsea rely on Hazard for the whole season?
"I think it was a fantastic goal, especially not only for the beauty of it but for the moment he scored and he was all on his own, I guess - four defenders - and it was an unbelievable goal". The West Ham match on Sunday showed what happens when he has an off-day, but those are the exception rather than the rule.
He only played 34 minutes and only did one noteworthy thing, but what a thing it was.
Although he was lively, the Spaniard is ultimately going to be judged on his goals and in that department he is still lacking.
Chelsea have announced their side and substitutes to take on Liverpool at Anfield in an EFL Cup tie this evening.
Chelsea will have their resources tested this season by the Europa League, but the performance of their fringe players at Anfield suggests that Sarri's team can combine an assault on both domestic and European competitions.