We don't know exactly but if the medical department are quite concerned without a scan, you can imagine it's difficult
Jurgen Klopp
"The season is not that long anymore. It doesn't look good.
"I'm a very positive person and still hope it only feels bad, but is not that bad. We'll see.
"We lost a fantastic player tonight. It's not good news."
Liverpool have four games left this season and potentially a fifth if they reach the Champions League final.
Oxlade-Chamberlain was also expected to be named in England’s World Cup squad by Gareth Southgate.
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Alex Oxlade-Chamberlain tackles Aleksandar Kolarov and gets injured
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And team-mate Georginio Wijnaldum is hopeful the former Arsenal ace can still play in Russia.
"I just spoke with him in the dressing room and what the manager said is difficult,” he said.
"We still have to see how bad it is. I hope it will not be that bad and he can still go to the World Cup."
Trent Alexander-Arnold added: "Obviously we're all gutted for him.
"If he can't play, we'll be looking to secure the place in the final for him and the other lads who can't be involved."