The France international did not play against Newcastle at the weekend and did not travel to Villarreal for their Europa League semi-final second leg after the club were alerted by UEFA to an alleged doping violation.
Klopp, the club’s owners Fenway Sports Group and the player himself all decided it was best he did not feature for the team while the issue is still ongoing – which has effectively ended his season.
It is believed Sakho has accepted the breach, with no plans to have his B sample tested, and although the club have refused to comment on his current situation as his response and subsequent course of action is confidential as it pertains to the individual himself and not the club, Klopp said he believes they have acted appropriately.
“At this moment there is really nothing else to say,” he said.
“I think what they are all doing now is collecting information to clear the situation as much as possible.
“Then we have to wait for the next steps. It is not that we could do anything or we could not force anything, we have to wait.
“Until now we did what we thought was right, there is nothing else to say.”
Klopp also shared his view on the Hillsborough inquest verdicts, praising the victims’ families for their unbelievable work in discovering the truth and bringing justice to the victims.
“What I could see it was a very, very big moment for all the families. I’m really pleased for them, I am really happy for them,” he said.
“They finally got the justice they wanted. I’m really happy.
“Twenty seven years is an unbelievable long time but it shows all of us if you’re ready if you fight for the truth, and patient enough to wait for the moment, then it can happen.
“I’m really pleased for all the fans, it was a great moment.”