Ogbonna suffered the injury prior to the international break in West Ham’s 3-2 win over Liverpool at the London Stadium.
The 33-year-old Italian international has been pivotal for the Hammers this season, appearing in all eleven Premier League games to help David Moyes’ men climb to third on the table.
“He is going to have surgery,” Moyes confirmed ahead of Saturday’s game against Wolverhampton Wanderers.
“We think surgery will take place over the next couple of days, and that’s really sad because he’s done a great job for us.
“He’s a great boy and a great team player. He’s someone we love having around, and more importantly his performances have been excellent for us. It’s a real sad moment for him and also for us.
“I think most people who know much about injuries, and listening to what the doctors say… cruciate injuries can take around about nine months. You only need to look at Virgil van Dijk, and people of that ilk, and how long it takes to recover.
“I don’t think there is a quick return. I think there is a period of recovery time that has to be taken, so I think it will be hard for Angelo to be back this season.”
Ogbonna joined West Ham from Juventus in the summer of 2015.