"The amount of chances we are creating is pleasing and I think you would be more anxious if you weren't creating the chances", the 32-year-old told Liverpool's official website.
"We knew it would be tough but I think it's a good point at the end, and hopefully we can use this momentum from late in the game, scoring like that, to take into the last two games before the global break".
Luiz had been an integral figure in Chelsea's title win in Antonio Conte's first season as boss, in 2016-17.
The Blues finished fifth last term, 30 points behind champions Manchester City, but Sarri's impact has brought the excitement back and led to suggestions of a title challenge, which the 59-year-old Italian has played down.
The Brazilian defender added: "Every single day he says to us "you have the best job in the world, so you have to enjoy".
Some of the chances missed had fallen to Mohamed Salah, who sparkled for the Reds last season but endured a hard night at his former club. "Many people in the world don't have this privilege". "Let's continue to play".
It looked as though Chelsea were set to take all three points from the match, only for Daniel Sturridge to net a sublime late equaliser to earn his side a draw.
"Every point counts in the Premier League", former Chelsea striker Sturridge said on liverpoolfc.com. What he is doing is great.
"It is not just the goals - I'm really very happy with the defensive performance of Hazard today, especially in the second half". "He is doing better and better every week".
Chelsea FC are now currently preparing for their home clash against Videoton at Stamford Bridge in the Europa League on Thursday night. "I'm always looking to know what I'm going to do before I receive the ball in order to make my team play better". We have to try to stay very close on the table with the top-level teams. I just want to enjoy my football and win games.