In a number of dubious reports on Thursday evening, Sturridge was said to be frustrated with the club’s portrayal of his long-term injury issues, and was pushing for a transfer away from Anfield.
But speaking to reporters on Friday afternoon, Klopp said “there’s absolutely nothing to say about it.”
“Why should I think about [that]?” he said, dismissing reports offhand.
“If somebody wants to ask me something about Daniel Sturridge you can ask me.
“I’m not interested in ‘suggestions’. Daniel is back in training and that’s great.
“Everything looks good in this moment, what’s good for us is good for him.
“Yesterday with Phil [Coutinho] and Divock [Origi], if you see these three players you know what you’ve missed.
“There’s absolutely nothing to say about it.”
When asked whether his previous suggestion that Sturridge would need to learn the difference between pain and “serious pain,” Klopp looked to move on from the issue.
“Obviously there were a few problems in the past with injuries, not only since I’m here,” he continued.
“But now this is the past, it would be cool if we could leave it there.
“I don’t know exactly when it was, but I said what Daniel needs, what each player needs, is consistent training.
“That’s normal to be fit for Premier League football. We tried everything we could to bring him in this shape and now we’re in the moment where we hopefully can get the benefit of this work.
When asked whether Sturridge could return to action in Saturday’s clash with Sunderland, however, Klopp explained that this fixture would come too soon in his recovery.
“No, because of training. Nothing ’10 days,’ when I said 10 days it’s about training, that’s all,” he said.
“It’s two days training, today would be the third day training.
“Divock, Phil and Daniel in training, of course we think after five minutes maybe we think we can take them back in the squad.
“Maybe they are available for West Ham [on Tuesday night], if nothing happens in the next session.”
This news will come as a major boost for supporters, with Sturridge committed to the cause and on track in his recovery.
The England striker will be looking to make an immediate impact if he is deployed against the Hammers at the Boleyn Ground, and could help Liverpool seal passage to the next round of the FA Cup.
Watch Klopp’s full pre-Sunderland press conference: