'They are a step forward of us at this moment, ' said Sarri when asked about Liverpool. "We have started to work all together 35, 40 days ago", the Italian told Sky Sports News.
"For us it is a bit early".
'We have to work then, maybe, in one year we will be at the same level as Liverpool.
Things are not about to get much easier for the Blues, who face Liverpool in an EFL Cup and Premier League double-header in the next week.
'It will be a really hard match, ' said Sarri. 'We have to play against a very, very good team who have worked with the same coach for three years.
Chelsea, playing less than 48 hours after arriving back from their Europa League win against PAOK in Greece, also had chances.
'Look at the mirror,' Haley tells Iran on blame over parade attack
Four gunmen opened fire on the crowd on Saturday, killing civilians and 12 members of the country's elite Revolutionary Guards. Qassemi said Iran expected the two European countries to extradite the "criminal perpetrators" of the terrorist act in Ahvaz.
Manuel Pellegrini has taken to Twitter to comment on West Ham's draw with Chelsea on Sunday, with the Chilean paying tribute to the Hammers supporters inside the London Stadium. "Hazard did very well in the last 25 minutes, more on the right than the left, but it was really very hard today for the striker and the two wingers".
Arsenal's Pierre-Emerick Aubameyang, centre right, celebrates with team mates after scoring his side's second goal in a 2-0 win over Everton. In the last two or three matches we've done very well. He'll have a defensive head on him and I thought today it's not always about being on the ball in that position a large part of it is filling spaces where you think the danger is and I thought West Ham looked like a proper team today.
Sarri's men were dominant, though West Ham actually crafted the better chances, with Michail Antonio and Andriy Yarmolenko both wasting glorious opportunities.
"They were cutting out very well every pass for [Olivier] Giroud, so we needed two wingers, I think".
"Signing nine players and with a new manager it was always going to be hard", Antonio told Sky Sports.
However, before that eagerly anticipated duel, the two clubs go head-to-head in the League Cup on Wednesday which promises to be a cracker under the Anfield lights.