The Liverpool striker is said to be frustrated and unhappy at being singled out for criticism over his long-standing fitness problems, with the Mirror revealing he is thinking of a fresh challenge.
But Klopp believes differently.
He is confident that with England star Sturridge ready to make a lasting comeback after just four starts this season, any lingering resentment will soon disappear.
“We had to wait for Daniel, and that always sounds like a criticism, but really it is only a description of the situation. Nothing else,” he explained.
“Yes, we are hoping that waiting means he is through that period. Everybody hopes this. Daniel hopes it. I hope it.
“That’s absolutely normal. That’s what we tried to do after the last injury.
“When we saw him in training, then yeah, you know why everybody is waiting for him. There are a lot of reasons.”
Sturridge could even start at West Ham in the FA Cup fourth-round replay on Tuesday night, with boss Klopp explaining he must decide which of his three returning players – Philippe Coutinho and Divock Origi are also back from injury – he will include in the first XI, and who will be on the bench at Upton Park.