Lovren has said there has been a focus on the team more than individuals, and Klopp is only just getting started.
Liverpool defender Dejan Lovren has said in the official club magazine that he doesn't see why things can't get even better under Jurgen Klopp, even though the German has made a relatively impressive start to life in his opening 12 games as Reds boss.
Klopp has managed to guide the Reds to the knock-out stages of the Europa League with a game to spare, and into the semi-finals of the League Cup, while there have also been some impressive performances in the Premier League, even if there have been two setbacks on the way with defeats to Crystal Palace and Newcastle United.
Given this is just the start of his reign at Anfield, Lovren is sure that there is even more improvement to come under the former Borussia Dortmund boss.
He told the official Liverpool magazine, as per the club's website: "We have only been working with him a short time, barely two months, and we have already had some good results with him.
"With time it will be better. With his methods and his way of working, I don't see how it cannot be better.
"We will know him more and he will know us more and he will also have a better understanding of the league and the club.
"He knows the expectations at Liverpool. Everyone knows it is a tough job, but we are here to do that job."
There have certainly been noticeable improvements in individual performances since Klopp's arrival as well, with Lovren starting to eradicate the kind of errors that made him a targets for fans' ire when things didn't go right for the side.
Lovren has also said there has been a lot of work on team player, rather than emphasis on any individual to flourish so the side can succeed.
"Maybe there is more one-to-one work with some of the young players but we will definitely look at things as a team.
"When he shows us footage or talks us through an exercise, he will look at it in terms of the whole team and explain how we need to do something specific or how - as a team - we need to do something better.
"Of course, you know when he is talking about you, but usually it's within the context of the team."
It's an interesting comment made by Lovren, because it does suggest a more individual focused way of doing things under the previous regime, while the Reds have been integrating a whole series of new players into the squad over the past couple of summers. Maybe it is Klopp's way of doing things that there is a lot more emphasis on the team, but also a way of getting certain players to know one another a little better.
After a promising start to life at Anfield under Klopp for a lot of individuals, they will be hoping for more days like they've had against Chelsea, Manchester City and Southampton, rather than the poor showing from Sunday against Newcastle United.