Roberto Firmino rose above Toby Alderweireld and headed home Andy Robertson’s late corner to send the Reds to the top of the Premier League table in dramatic fashion, three points above Spurs.
It followed a thrilling first half at Anfield which saw Son Heung-min cancel out Mohamed Salah’s deflected strike with a clinical finish past Alisson at his near post.
Steven Bergwijn and Harry Kane both missed golden opportunies before Firmino’s winner and tensions threatened to spill over after the final whistle as a frustrated Mourinho exchanged words with Klopp on the pitch.
Asked what he said to Liverpool’s head coach, Mourinho told Amazon Prime Video: ‘I told him the best team lost and he disagreed but that’s his opinion.
‘By the way, if I behave the same way on the touchline, like he does, I have no chance to stay there and I’m out for a minute.’
The Tottenham boss, clearly feeling hard done by, continued: ‘That’s animated?
‘Do you want me to take the table with the time from the fourth official’s hands [referring to Pep Guardiola’s behaviour at the end of Manchester City’s draw with West Brom] to see what happens to me?
‘I’m saying that for some reason I am different. That’s the only thing I say.’
Mourinho’s post-match interview did not go unnoticed in the Liverpool dressing room and Alexander-Arnold wasted little time in rubbishing the Special One’s suggestion that the ‘best team lost’ the match.
‘Best team won,’ the right-back posted with a big smiling emoji on his Instagram page, shortly after the Portuguese’s comments.
The England defender later shared a picture of him poking his tongue out with the same message in his Instagram stories.
Klopp said he thought Mourinho was ‘joking’ at first with his suggestion that Spurs were the better team.
‘It was not heated at all,’ he said on BBC Radio 5 live.
‘He wasn’t happy because he told me the better team lost – and I thought he was joking!
‘But he wasn’t. So that’s it.’
The German told Amazon Prime Video: ‘My English is worse than I thought!
‘I thought he said to me, “The better team lost” and nothing about my behaviour on the touchline.
‘So I have no idea what that is.’
Liverpool, meanwhile, will be looking to tighten their grip at the top of the Premier League table when they travel to Selhurst Park to face Crystal Palace this weekend.