Henderson missed the end of last campaign with a knee injury as the Reds won their maiden Premier League title, though the midfielder was able to lift the trophy.
He has been training with his Liverpool team-mates this week though was not ready to return in a pre-season clash with Blackpool on Saturday.
But Klopp has hinted he could make a return in some form next week with the Anfield outfit beginning their season against promoted side Leeds.
“Obviously Hendo was desperate to play a few minutes today as well, but it makes no real sense because he had to do an important session today for him,” Klopp told Liverpool’s official website.
“If he would have played today, 10 minutes or so would have probably been OK. But that makes no sense. So that was not possible, but he trained in big parts of this week and will probably join full team training next Tuesday.
“Timing-wise, not perfect that he cannot play today, but can train a few days later fully. But that’s how it is.
“We will see how he develops, [there are] a few days until Leeds, how the boys come back from the national teams. A lot of open questions still, but a few hopefully we can answer today.”
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And Klopp suggested that his side will continue to be an attacking outfit as they waltzed their way to the title last time out.
The German added: “We have a lot of offensive players here, which is good and we try to bring as many as possible of them together on the pitch – that’s why we play like we play.”