A fluid dispenser member having a body and manually-actuated dispenser mechanism movable in the body between rest and dispensing positions. The dispenser mechanism urged by a resilient member towards the rest position by a plurality of spring cells arranged in parallel around a longitudinal axis of the resilient member, forming a spring stage. The resilient member includes a plurality of spring stages that are superposed along the longitudinal axis. A spring stage has a top undulating ring having multiple undulations, and a bottom undulating ring having multiple undulations, the top and bottom undulations arranged relative to each other so that the top and bottom undulating rings are in contact at a plurality of contact points distributed around the longitudinal axis. A spring cell is defined between two adjacent contact points of the spring stage, the resilient member is made of a synthetic material.