Sturridge has made just four Premier League starts this season and another four off the bench, scoring twice.
The England international is likely to need more game time if he is to make Gareth Southgate's World Cup squad, but Klopp — whose side visit Sevilla in the Champions League on — said he wanted Sturridge focused on Liverpool.
"I can imagine a player with his quality is not happy that he is not starting all the time, but that's all," he told UK newspapers.
"The situation with the player is completely OK. At this moment we are in November and need all our players — even if he feels a little different.
"There is around one-and-a-half months before the window opens and I don't think about things like this. There are so many games before then and I need all of them."
Sturridge made 26 starts and scored 21 league goals in 2013-14, but has since netted 17 league goals in 29 starts in three-plus seasons while often struggling with injuries.
This season, the forward has been unable to unseat Jurgen Klopp's first-choice forward trio of Mohamed Salah, Roberto Firmino and Sadio Mane.
And England manager Southgate dropped the 28-year-old from the Three Lions squad that faced Germany and Brazil earlier this month, saying: "He's not playing regularly. I think it's very difficult. I don't remember the last time Daniel had 90 minutes."