The positions under threat include administrators, booking coordinators, project managers, clinical educators, operations managers and communications officers.
Hundreds of staff have already left in mutually agreed resignation and voluntary redundancy schemes, but the trust says it needs to make further cuts.
Unison Eastern head of health, Caroline Hennessy, said: ‘The government's 10-Year Plan is make or break for the NHS, but delivering improved care and using better technology relies on administrators, comms officers, operations managers and many other expert staff now anxiously awaiting their P45s.
‘Even without ambitious plans for the future, these jobs are needed to keep the trust running. Frontline staff rely on support workers to deliver care.
‘The NHS needs real investment, not savage cuts, to meet the challenges ahead."
In response, a CUH spokesperson, said: 'Like all NHS trusts, we have been asked to reduce the cost of our support functions this year to April 2022 levels.
'We are taking all possible steps to minimise redundancies, through redeployment, natural turnover and a mutually agreed resignation scheme. These steps are helping to reduce the number of redundancies required.
'We recognise that this is a challenging and uncertain time for staff and have multiple support services in place. During this process we will continue to consult with trade unions on ways to avoid or reduce redundancies.'