The goalkeeper resumed full training this week after injury ruled him out of last weekend's FA Community Shield victory over Manchester City.
However, the Reds will be without Curtis Jones, Kostas Tsimikas and Ibrahima Konate at Craven Cottage, while Naby Keita will be assessed after illness.
Klopp told his pre-match press conference: "Ali [is] fine. We hope with Curtis we caught it in the right moment, that's just how it is with young players. They have some kind of stress reactions sometimes and then if they go over it because it's not massive pain, it could lead to something serious.
"We caught it early but we still have to be careful. That's it with him, so he is not in.
"Naby is ill, but I think he will be back today the first day. I underestimated it a little bit when I said he will definitely be fine. He came in yesterday and still showed some little symptoms, no COVID but it is not right. I guess he will be back today.
"Then Kostas [was] unlucky in a training situation. I saw him now, he was out on the pitch and he might be - in his opinion, anyway - ready to train next week, which is helpful. Ibou, in a challenge in the game against Strasbourg, what happened there we have to see how long it will take but he is out for a while. Oxlade [is also out], of course."
Liverpool will also be without Diogo Jota and Caoimhin Kelleher for the trip to London as the duo continue to undergo rehabilitation programmes on injuries sustained during the summer.
Klopp was asked by reporters whether the current fitness situation with the Reds squad could see the club enter the transfer market.
The boss replied: "[Kelleher] is still a few weeks away.
"We have too many injuries, that's true, but in the moment nothing changed. There were a lot of unlucky situations; started with Caoimhin, started with Diogo pretty much. One was injured, the other one got a re-injury, it was not 100 per cent clear.
"There's no criticism, because you made a story of everything that I say but it is like this - he's with the national team, both of them were with their national teams. There is a diagnosis, we get the diagnosis, we trust the diagnosis, that's completely normal, but you are not in the full process all the time. The national team takes over in moments, we try to step in as early as possible.
"Diogo it was obviously slightly too early, or the injury was different in the first place. They are already fine and in a few weeks they will be back."
Klopp added: "These kind of things are not cool, but we cannot sort a problem we have for four weeks with a transfer for a full year, that makes, in the moment at least, no sense for us. But the transfer window is still open and we will see. But the plans don't go in that direction."