Thiago has been sidelined since being caught in the right knee by a red card from Everton forward Richarlison in the 2-2 draw at Goodison on October 17.
While the Spaniard was able to play the final few minutes, he complained of pain after the game although subsequent scans failed to determine a serious issue.
Thiago was pictured in individual training less than a fortnight later, but his subsequent absence raised growing concern among Liverpool fans as he could have suffered a serious injury.
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It is understood that there has been no setback for the 29-year-old, who will not need surgery. Instead, the initial problem and its aftermath takes longer to recover than initially expected.
And with Klopp admitting it will be “a few weeks” before Thiago is ready, Liverpool are likely to play without the player until the New Year.
“Thiago, maybe we need to clarify a bit,” said the Reds boss.
“The day Thiago got injured in this challenge in the Everton match, there was another serious injury (to Virgil van Dijk) and after the scans it was like one was really a bad news and the other one was really good news because nothing was broken, nothing was broken and stuff like that.
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“But, as we realize now, it still had a huge impact on the knee.
“The problem is in a situation like this, nothing is broken and nothing is broken and that means everyone is thinking, ‘okay, you can go after a few days’, but the impact on the leg was so big that it’s still not right.
“It’s not massive and he trains from time to time, not in the moment because you just have to realize that you have to take a few more steps
“I can’t say exactly when he’ll be fine, but it will take a few more weeks with Thiago. ”