Up to 250 jobs could be lost at University Hospitals Coventry and Warwickshire NHS Trust, it has said.
But the trust added that Front-line staff at the Walsgrave Hospital in Coventry will not be affected.
It said it needs to reshape its services to meet the challenges and opportunities of the move to a new hospital next July.
Alice Casey, chief operating officer, said: "We aim to keep any redundancies to an absolute minimum."
She added: "We now need to refocus and adjust our style of clinical service, and the associated skill mix of our staff, to achieve greater efficiency and quality of service.
"An implication is that greater efficiency savings are now required, which could mean the loss of some 250 posts in the trust.
"However, we aim to achieve that by people leaving or retiring, redeployment and re-training, as well as more efficient use of bank, agency and locum staff."
David Roberts, the trust's chief executive, said: "We hope that patients and staff will appreciate the reasons for continuing to change the way we work - and that ultimately they will see the benefits, in terms both of improved services and greater efficiency.
"We also assure staff that all those affected by our proposals will be offered the best available opportunities, including any necessary retraining, to suit their individual circumstances."