Sturridge enjoyed a promising end to the season before representing England at Euro 2016 and was set to start the campaign as Liverpool’s first-choice striker.
However, the 26-year-old missed the Reds’ friendlies against Barcelona and Mainz in what the club described as “precautionary” decision.
Asked to give a one word answer on Sturridge’s availability, Klopp replied: “No idea. That’s a two word answer!
“I’m always ready,” he added, with the season-opener against Arsenal coming on Sunday. “We played some games that were very good, others that were less good.
“Barcelona was really good and then we had Mainz, and that is what you need. You have to work and that is all. That is what we are doing.
“We will be ready for the first game next week, for sure. But if Arsenal was the best game of the season for us, there would be something wrong with the season.
“We still have to go on. This is only the first game. We cannot decide the whole season in one game. But we need to be as good as possible. And that is what we will be, 100 per cent.
“But I am not in the mood to say this is our final shape.”