Sturridge quickly fell down the pecking order last year after injury impacted his availability for games.
He has now been linked to possible moves to Sevilla or to Besiktas.
The 28-year-old has a lot to prove to Klopp, but has looked sharp during pre-season.
"It's funny, this is my third pre-season and every year we talk about the same things," Klopp told Sky Sports.
"It's no problem. I always said there is a future, it's about what we do in the moment."
"At the moment it's all good and we don't have to make decisions. I don't think about my players like this - like, maybe he's in or out."
"With the young ones we make these decisions but not with the other guys. They show up, and it should be easy for me in the end."
"The window is still open, right? Is it closing tomorrow? Good."