The 21-year-old defender sustained the initial break during Liverpool’s 3-1 win against Burnley on 5 December and has been undergoing rehabilitation since.
However, in a statement released on Monday morning, the Premier League leaders said a “further procedure” was required to “enable a more complete recovery”.
Liverpool believe Gomez could feature again this season, though the club said “no timescale will be placed on an expected return date”.
Addressing the injury update, manager Jurgen Klopp said: “It’s a blow for the boy and for us – because prior to the injury he was in such fantastic shape.
“But he is too valuable to take any risk with, both for our present and future, so we get this procedure done and he comes back when he’s ready.
“His attitude during this rehab has been outstanding but it just hasn’t healed as we’d have liked so we will make this intervention and then he will come back.”
Gomez said: “Obviously being out for longer than we’d first hoped for is hard to swallow but it’s part and parcel of the industry. It was an injury caused by an impact, like nearly all the injuries I’ve had in my career, so I know it’s just a case of when it’s fully healed I’m good to go again.
“The hardest part is not being able to help the team and contribute on the pitch at the moment, so it’s important I come back ready to go and this procedure will help with that. My only focus is getting back for Liverpool as soon as possible and I can promise the supporters I’ll be working hard every day to do that.”
Join our new commenting forum
Join thought-provoking conversations, follow other Independent readers and see their replies