Both players were forced off with respective injuries in the second half of the 2-1 win over Bournemouth at Vitality Stadium on Sunday but a positive Klopp feels they may have escaped serious issues.
Following the game, Klopp said: "[Origi] got a knock on his back, I think.
"I asked him after the game and he said it was a little knock in the back and hopefully it's not serious.
"[Toure's injury is] a little bit more [serious], it's the muscle. I'm not sure if it's cramp or more but in the last few months Kolo had absolutely no issue with his muscles so hopefully it's not a big thing."