Collins will be able to resume aerobic exercise after one week and is expected to take part in contact training in approximately six weeks.
All Blacks doctor Deb Robinson said: "Jerry played with persistent pain through much of last year.
"We hoped that a period of rest would solve the problem, but the symptoms have returned now that he is back in training.
"He could carry on at less than 100%, but we've decided to address this now. It's a minor surgery and he'll be able to resume conditioning work after a week."