The visitors raced into a 2-0 lead at Stamford Bridge thanks to Trent Alexander’s free-kick and Roberto Firmino’s goal within 30 minutes.
However, Chelsea FC improved in the second half and they equalised in the 71st minute when N’Golo Kante netted a fine solo goal.
The Blues had chances to net an equaliser, but the Reds managed to hold on and claim all three points to maintain their incredible 100 per cent start to the new campaign.
Speaking after the game, former Chelsea FC boss Mourinho outlined his view that the Blues could have easily got something from the game.
Mourinho told Sky Sports: “I think they [Liverpool FC] risked it a little bit with that second half and if Chelsea scored a second goal, I would say that would be a fair result.
“In the second half, I think Liverpool stopped to play. They didn’t have more than four or five passes [in a row] and they lost the ball in a very simple way.
“They were not compact defensively and Mohamed Salah was hidden so he didn’t have to work a lot defensively.
“Marcos Alonso was creating lots of problems on the right side and they [Chelsea FC] had a few chances to score the equaliser, which I think would have been a reward for the way Chelsea faced the second half.”
Liverpool FC are now back five points clear at the top of the Premier League table heading into their clash with Sheffield United away from home on Saturday lunchtime.
Before that, they will take on MK Dons in the third round of the League Cup on Wednesday night.
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