The German has spent the last two seasons at Besiktas after being replaced at Anfield by Alisson, who has excelled between the posts.
But Karius has not ruled out working behind the talented Brazilian next season.
Speaking about his future to Transfermarkt, he said: 'Of course I have to play if I am going to change clubs. It makes no sense to say: 'I'm leaving Liverpool for a worse club and I'm only number two there'.
"But I'm not in a pressure situation at all, I don't have to change.
"I can move forward in training at Liverpool. As the second-choice goalkeeper in England you know that you get your chances.
"I am currently at the best club in the world, play for titles, have the highest level around me every day in training. I am fully aware that I am in a good position to be in Liverpool. I have great conditions there."