The union representing Dundee University academics believe management are targeting specific posts for planned cuts.
Between 80 and 120 people are expected to lose their jobs.
The university has said it hopes to achieve the cost-cutting reduction through voluntary severance but it has not ruled out compulsory redundancies.
Following a University and College Union meeting, branch president Janice Aitken said: “The package the university is offering is fair and reasonable. Voluntary severance may be a good option for some of our members and we do not want to stand in their way if they wish to take it.
“However, we have been given details of the first of several reviews that include the targeting of specific posts in clearly defined areas across the university.
“The university has now identified a pool of staff whose jobs are at risk.
“Whilst we acknowledge an organisation like the university needs to continually change and develop, we do not accept that this development needs to involve the cutting of jobs.
“With a relatively small amount of investment, academic staff can be effectively retrained and redeployed.”
UCU members agreed to accept the terms of the voluntary severance scheme only on the condition that individual posts are not targeted.
A university spokesman said: “We are close to finalising details of the voluntary severance scheme, which has been taken forward in consultation with the campus unions. We are pleased to see DUCU recognise this as being a fair and reasonable offer.
“Reduction in staffing in some areas of the university is only one part of the Transformation agenda we are implementing, with the long-term vision of becoming Scotland’s leading university.