Speaking with The Times, Klopp hints the striker's future may still lie on Merseyside.
He said: “It's not about trying to find a player who has the same mindset as Cristiano Ronaldo, Messi, Ibrahimovic, or Lewandowski, because you won't find them.
“It's about making the best of the skills you have.
“A fit Sturridge is an unbelievable player. That's a pity of the situation, not often enough but he's now fit, spot on, trained two or three weeks.
“Of course (he has a future here)."