Seven games, a bit of time to reflect on his side and prepare for a big game ahead. What might Klopp be thinking about several key positions going forward?
He took over a side in 10th place in the Premier League and struggling for goals. Nothing has changed on that material fact, even if the performance trajectory does seem to be on an upward curve, but he has managed to get the side through to the quarter-finals of a cup competition, and handily placed to qualify from their Europa League group.
There has been a lot of transfer rumour swirling around the club since the German's arrival, despite Klopp's insistence that he can work with the squad that he inherited from Brendan Rodgers.
However, it is hard to think that after witnessing practically their every move for a month in seven competitive games that Klopp won't be thinking of certain areas of improvement, and possibly beyond his coaching ability.
Here we look at a few areas he may have considered so far:
Goalkeeper: Like under Rodgers, Simon Mignolet's performances have been a mixed bag for Liverpool. He was terrific in the 0-0 draw with Spurs but one can't be sure that he inspires confidence in the back four in front of him, and could have done better in the build-up to Crystal Palace's winning goal at the weekend. Adam Bogdan put in an impressive display in the League Cup - his only appearance under Klopp - so the jury is probably out on him. So far, one thinks that the goalkeeping position may be lower down on his list of priorities for now.
Defending: He has three centre-halves that are aerially quite dominant yet they struggle from set-pieces, which suggests the lack of a leader, or if there is then they're sweating on his fitness in the form of Mamadou Sakho. Kolo Toure is very much in the role of cover if absolutely needed while Joe Gomez is sidelined through a knee injury. It could be another central defender he may look to bring into lead the troops around at the back, while the worry in the full-back positions should be depth more than anything so far.
Midfield: Klopp has lots of options and should have another one back after the international break in the form of his captain Jordan Henderson. Lucas Leiva has predominantly impressed, while Emre Can seems to have been trusted in the middle of the park, and James Milner has been unspectacular. Jordan Rossiter is to return, Joe Allen has looked ok when he's been called upon and there are a couple of other youngsters knocking on the door. One very much doubts any movement here just yet.
Wide positions: Jordon Ibe's recent performances have shown the benefits of a natural, fast and confident wide player does for a side in Klopp's image, so one wouldn't be surprised if he looks someone who can plays on the left to give them some kind of balance and more of a threat.
'Number 10/off the striker': Whatever happened to the days when they were just called attacking midfielders? Anyway, I digress. But with Philippe Coutinho finding form, Roberto Firmino showing flashes of quality and Adam Lallana looking bright if nothing else - Klopp is probably comfortable with his options here... and Joao Carlos Teixeira is someone he probably feels is handy cover.
Strikers: He may be forced into the transfer market for another forward purely because of injuries. Danny Ings out for the season, Divock Origi vastly inexperienced - even if Klopp said they are going to have some fun with him - while Daniel Sturridge's injury record is well documented. Klopp may not view it necessarily in this way but it can't all be left to Christian Benteke, as that is one big burden for the Belgian.