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Many of the final-year students used part of their three-month work placements as holidays.
A university investigation completed in November last year found trainee interns across three campuses submitted false work experience records.
University vice-chancellor Harlene Hayne then announced a "broad and detailed" inquiry into how the misconduct occurred and how similar rorts could be prevented.
The terms of reference for the inquiry were close to being finalised in March but university operations were then disrupted by the Covid-19 pandemic.
A university spokeswoman said planning for the inquiry was put on hold because of the effects of Covid-19, including the lockdown.
"Planning is now recommencing and it is expected the inquiry will get under way later in 2020, but no definitive timetable is available at this stage."
Prof Hayne said Covid-19 was the main reason for the delay but some other matters had also needed to be resolved.
"To ensure the inquiry is worthwhile, we want to carefully establish the correct terms of reference and approach before commencing," she said.
The delay had not prevented the medical school from making sure processes for student electives were robust, she said.
Prof Hayne said the university was comfortable with the delay after it faced significant disruptions in the first semester.
Work on the terms of reference was under way.
Rumours about fake placements had emerged at the Christchurch campus in June last year.
In October, Stuff reported some medical students chose medical centres in Belize, Bosnia and Italy where they could get their placement signed off after a week or less.
The university confirmed Eastern Europe was one of the destinations.
An initial investigation resulted in 15 students being found guilty of misconduct.
A wider investigation found 53 students had taken liberties with their work placement obligations.
In November, Otago Medical School dean Barry Taylor said the school was extremely disappointed by the extent of the problem.
He described the situation as widespread and "not likely to be isolated" to the 2019 students or the Otago Medical School.
The university acknowledged its systems allowed the dishonesty to occur.