But Sarri - who also acknowledged that the Blues must not rely too much on Hazard - was pleased with the playmaker's all-round effort, having this week questioned his intensity in training.
Chelsea sits in third with 17 points.
Sarri's side was about to level the Citizens thanks to a goal by Eden Hazard in the 25th minute, but the England striker denied them.
"The first ball he missed it was not the right position". Chelsea defenders cleared the ball off the line twice, and new arrival Xherdan Shaqiri whiffed on a flawless cross into the box in the 70th minute. Giroud will likely be involved again today and will be looking to get the better of the 27-year-old once again.
In head-to-head statistics, these two sides have met on 170 occasions, with Liverpool boasting 71 wins compared to 59 for Chelsea while 40 matches have ended in draws.
Sturridge spoke to Chelsea coach Gianfranco Zola after the final whistle and he says he has been watching footage of the former Italy global for inspiration. But I can think we can fight for the [Champions League].
"Hazard is always thinking, always on the move, really hard to play against".
"Hazard has got this energy about him at the moment, a zip, that confidence".
Yet while next Sunday's encounter might give an indication as to which team is the most likely to emerge as champions, Chelsea have many aspects in their favour to argue their case as a third challenger.
And former Liverpool and Fulham midfielder Murphy said that the forward is on course to have his best season ever in a Chelsea shirt if he keeps up his current form. He was taken off for Shaqiri with 24 minutes left.
Arsenal legend, Ian Wright, has predicted the scoreline of the Premier League game between Chelsea and Liverpool on Saturday.
Justice was done there folks!gimwly substitutions, What a goal that's Daniel sturridge at his best!poss goal of the season contender. So he has to score another 33; 40 in a season, not (just) in Premier League.
The Reds are aiming to challenge for honours on all fronts this season as they bid to try and lift their first trophy under Klopp.