Liverpool got all three points on their trip to Leicester City - but it wasn't straightforward for Klopp's side.
The pre-match team news focused on the reds defence - with both Dejan Lovren and Joel Matip passed fit to play - a surprise considering the noises coming out of Liverpool's training camp before the game.
The reds looked lively from the outset - just as they did in the midweek match.
Leicester had an early chance with Vardy given too much space down the wing but his shot from a tight angle was parried by Mignolet. Riyad Mahrez put the follow up over the crossbar.
Emre Can then smashes a shot against the post. It rebounded with ferocity and the onrushing Mo Salah couldn't control it - it went wide of a relatively empty goal.
But the reds Egyptian man made immediate amends when he headed in a delicious cross from Phil Coutinho. 1-0.
Seven minutes later the reds had doubled their lead. Coutinho curled in a beautiful free kick past Schmeichel. In midweek Coutinho had fired a similar free kick well over the bar - but today it was perfectly placed. 2-0.
Following this Leicester improved and they had the ball in the net through Okazaki - but it was ruled offside.
Half time is approaching and Firmino pulls off a shot - it goes narrowly wide and even the sliding Coutinho can't make contact.
In the third minute of injury time, Leicester got one back. They were awarded a soft free kick and it was sent into the box. Okazaki toe-poked in after Leicester win the header. Replays showed that Mignolet was held by Okazaki and Henderson remonstrated with the referee as the half time whistle finally blew.
Second half started with Leicester in the ascendancy - they were getting behind Liverpool's backline on repeat occassions.
The reds replaced Firmino with Sturridge as the balance swung the other way.
And from a break Jordan Henderson made it 3-1. He took his time after receiving a pass inside the box and fired it past Schmeichel.
Within 90 seconds though Jamie Vardy grabbed a goal back for Leicester. Mignolet tipped a shot right into the middle of the penalty area and Vardy was there to head into the empty net.
Worse was to follow - minutes later Mignolet completely clattered into Vardy and a penalty was awarded.
But Vardy smashed his penalty straight down the middle and Mignolet was strong to stop the ball.
Liverpool saw out the remaining time (and five minutes added time) with little drama and Klopp visibly enjoyed collecting all three points.
Next up for Liverpool is a trip to Moscow on Tuesday in the Champions League.