The Reds have rejected three bids from Barca for their Brazilian playmaker, the last of which was thought to be worth £118m (€128.6m) with add-ons, and have maintained the stance that the 25-year-old will not be sold this summer, even after he lodged a transfer request.
With Barcelona reportedly ready to admit defeat after their deadline to agree a deal passed, Coutinho is facing up to the fact he will be remaining at Anfield.
A back injury and a current bout of sickness are keeping him out of action, but Klopp stressed that when he is fit enough to return, there is no need for any clear-the-air talks or lengthy reintegration process.
“Of course, everything is okay between me and him,” Klopp said. “Absolutely, 100%.”
Coutinho is yet to feature this season due to a back injury picked up in pre-season and will once again be unavailable tonight when the Reds face Hoffenheim in the second leg of their Champions League qualifier at Anfield.
Klopp revealed that Coutinho is also suffering from a sickness bug and is unsure when he will return.
“He can’t start tomorrow because on top of that he’s now ill,” the German added.
“It will take time because he has not trained for a long time. I’ve no idea at this moment (when he will return), we would have to check when he is back.”
Regarding suggestions a deadline imposed by Barcelona to complete a transfer had now elapsed, Klopp replied: “I never give any comment to whatever’s written or said but it’s 100% clear that nothing’s changed.”
Even without Coutinho in Germany last week Liverpool claimed a 2-1 victory to ensure they have the advantage ahead of tonight’s return leg.
A late Hoffenheim goal in Germany has made the Reds’ progression to the group stages slightly less certain, and Klopp wants to harness the atmosphere of a European match at Anfield to see his team home.
“The first game was good enough to get the result, the second game needs to be better,” he admitted.
“Anfield is a main factor, we all know it. It’s a very special place.
“Nothing happens by itself, we have to perform, deliver. We all know the atmosphere can and will help you.
“I would be concerned if people would think it’s a weak side coming from Hoffenheim and we need to be dominant and each pass gets a moan.
“It will not happen because I know we have a football crowd and they know about the quality. We are ready to fight.”
The one-goal lead Liverpool own leaves Klopp with an interesting conundrum over how to approach the second leg given the Reds could still make it through without scoring.
However, defender Joel Matip insists they must not change their usual mentality as they look to reach the Champions League group stages for just the second time since 2010.
“We go into this match and start like it’s 0-0,” Matip insisted.
“It doesn’t help when we only try to defend and play for a 0-0. We want to play like we always play, we don’t want to change our style because of the first game.”