A 45-day consultation period with staff began on Thursday and the Trust said they were working with the union Prospect “to minimise compulsory redundancies”.
The Trust said it wanted to “make the transition as painless as possible”.
The charity is running a voluntary redundancy scheme, and is expecting that to significantly reduce compulsory redundancies, a spokeswoman said.
The job cuts will affect all staff from management down, and everyone whose job is at risk will be offered a suitable alternative where available, the spokeswoman added.
Following consultations, which will finish in mid-to-late August, the cuts will be made in the autumn.
The Trust currently has about 9,500 employees.