Klopp was furious with Oliver’s decision to deny Liverpool the opportunity to bring on Adam Lallana and Sadio Mane in the closing minutes of the game.
Lallana was ready to come on when the ball went out of play for a throw-in, but Oliver waved away Klopp’s pleas to make the change and Willian scored Chelsea’s equaliser moments later.
Klopp insisted after the draw he was trying to change Liverpool’s shape to 5-3-2 to counteract Antonio Conte’s decision to bring on Willian moments before.
Liverpool fans were bemused to see Lallana and Mane both come on in the 89th minute with barely any time to rescue the game and go back in front.
But, Klopp explained Oliver was the one who decided Liverpool would have to wait to make their changes.
The Times claim Klopp sought Oliver out after the game and the referee explained he believed the Liverpool boss was trying to con him.
Liverpool were leading 1-0 at the time and were attempting to see out the game and earn a narrow victory.
Liverpool 2017/18 Fixtures
Stoke (A) – Wed 29 Nov
Brighton (A) – Sat 2 Dec
Spartak Moscow (H) – Wed 6 Dec (Champions League)
Everton (H) – Sun 10 Dec
West Brom (H) – Wed 13 Dec
AFC Bournemouth (A) – Sat Dec 17
Arsenal (A) – Fri Dec 22
Willian scored just 144 seconds after coming on for Chelsea with a shot/cross that completely bamboozled Simon Mignolet.
It was a major slice of luck for Chelsea after Liverpool had finally broken through their defensive line in the 65th minute.
Mohamed Salah, playing against Chelsea for the first time since joining Liverpool, finished coolly from close range after Tiemoue Bakayoko had inadvertently poked the ball into the winger’s path.
Klopp vented his frustration after the game at Oliver.
More: Chelsea FC
‘I was angry because we wanted to make a change and change the system and the ref wouldn’t let us,’ he said.
‘He said it would take too long. I don’t understand it, how can a change take too long?
‘We wanted to change to five in the back, in that moment it could have helped a lot. ‘That’s where Willian popped up with the goal, and that’s why I was angry.’