The German shot-stopper, who joined the Reds from Mainz 05 in the summer transfer window, made his debut in midweek's 3-0 win over Derby County in the third round of the EFL Cup.
Karius was made to wait for his Liverpool bow due to suffering a hand injury during pre-season.
When asked by reporters who will play in goal this weekend, Klopp said: "Now's not the place to announce lineups because I never did it, but of course we have to think about it in a very positive way.
"I was never a goalkeeper, my father was a goalkeeper, so I've a little bit of experience with goalkeepers. Obviously it's a little bit different to changing a midfielder player or something like this.
"It's a decision when I do it, it doesn't mean we will go like this for the next five years or something. It's a decision at a very high level because I'm really happy with both of them. There's nothing to say about this here but as always when I decide for the next game it's a decision for one player and not against another player. You'll have to wait and see."
Liverpool are unbeaten in their last five games in all competitions.