The region claims the job losses, targeted at employees aged 50 or over, are necessary because of a £31 million cut in its budget.
No figures have been made public, but reports suggest up to 500 of a total 23,000 employees are expected to take up the offer. Only uniformed staff, teachers, direct service organisation employees, social workers and residential care staff are exempt.
Grampian has also negotiated the sale of a number of industrial estates to a pension fund for over £18m.
She also said the package could cost £7m, assuming 500 people with an average salary of £18,000 took up the offer. The cost of continued employment up to reorganisation would be £10.5m, she said.