Klopp claims his side were good enough to earn a point against Chelsea but admits they weren't clinical enough.
"Probably one month ago it was impossible to imagine we would arrive at the end of the season fighting for the Champions League", Conte added.
"Now there is hope". They are 2/11 on with Sky Bet to get the three points. Our opponents are dropping points, but our vision is not in our hands. But our future is not in our hands. "We have to try and get three points to apply pressure".
Antonio Conte's team host Huddersfield at Stamford Bridge on Wednesday night before making the long trip to Newcastle on Sunday and it seems unthinkable that they can finish in the top four without winning both of those matches.
Arsene Wenger took charge of his final Arsenal home game yesterday, and was given the flawless sendoff as the Gunners thrashed Burnley 5-0 at the Emirates.
Speaking after the game Klopp said: "Yes I think it was a dive, was it?"
With only one win in their last five league games, Liverpool have made their top four status an unnecessarily tense affair.
A few weeks ago, the Blues looked down and out and nearly certain to miss out on Champions League football, but a combination of both Liverpool and Spurs dropping points and Chelsea winning their last four matches has changed the complexion of the top-four race.
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Salah was unable to make a mark against his former side on Sunday in what was a frustrating afternoon for the Reds.
Salah was involved in the thick of the action shortly after Chelsea went ahead, receiving a booking for simulation on the edge of the box, and Klopp offered no excuses. Or he waited for the contact, I am not sure, so that is not what I want to see, that is not what he wants to do.
"He can do much better".
"He will score again but there was no space today".
Tasked with the central slot in a back three against a raging Liverpool attack, Chelsea's captain courageous did a commendable job to hold his own against the likes of Roberto Firmino, Mohamed Salah and Sadio Mane.
The Italian said: "They are very risky, these three strikers".
"We must be pleased with our will to fight and desire, and will to keep the hope alive to take a place in the Champions League".