Manager Klopp insisted last month Fabinho will need time to get used to the tactical demands of his side, and the player himself is confident things are progressing well at Anfield.
"It looks like we are really on a good way and the only thing I can guarantee is that we constantly develop".
I'm back into the routine of training and playing games, getting prepared mentally and physically for games and I've played a part in nearly all the matches this season so I'm feeling really good and confident and I want to keep that going all season.
Spurs have played one more away game than most other clubs, but have won four of their five matches to pick up 12 points on their travels.
"If somebody would have told me after eight match days you have 20 points, I would say with that fixture list 'I'll buy it, let's start with the ninth match day!'".
"Times change, and to be honest, it is much more hard than it was in the past".
"We were close more than ever to win here".
"I've been through hard spells but I'm coming out of it a better player".
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After being a part of success like that and seeing what we've done recently, I feel we're going in the right direction. Running in these transitions there is no one better.
"We're trying to compete with City, and I look and they've got (Kevin) De Bruyne and (David) Silva in there".
"Sometimes, we are exactly that!"
"I want us to have the best atmosphere in world football and there is no limit to what we can do actually".
So yes, it's great to be back again with England and I just want to keep improving and keep it going, starting with this week's games.
Klopp continued: "Here, the enthusiasm of all the people involved, the involvement of all the people, the feeling of all people is brilliant. After the global break there are three important games against Huddersfield, Red Star and Cardiff so we want to be ready for that". I still think we lack a little something more in midfield, but hopefully [Naby] Keita will fill that void.
"Being at this moment a Liverpool supporter or employee, it's fantastic".