The council has asked employees to take voluntary severance in an effort to cut 536 staff. Although it retains the right to impose compulsory redundancies if it cannot make the numbers up, chief executive David Henshaw said last week this would not be necessary.
Unison branch chair Ken Dunlop said services would suffer under the staff cuts.
Mr Henshaw said: 'It's very simple. Liverpool is third from bottom in the local authority league tables just above Lambeth and Hackney. We have too many overly costly, low quality services.