The pump which is for implantation into a human heart has a flow path through a housing (1 ) a rotatable pump member (21 ) within the housing for causing fluid to flow along the flow path the pump member being rotatably coupled to the housing about an upstream bearing (32) and a downstream bearing (33). The downstream bearing comprises a bearing member (34) on the pump member and a complementary bearing formation (35) on the housing The pump has a mechanical adjuster (42) for fine adjustment of the position of the bearing formation (35) along an axis (A) of the pump member; the mecahnical adjuster being preferably one or more screws (42) for adjustable movement of a boss (40) along the axis (A) the adjustable movement being permitted by flexure of a plate member (41) integral with the boss.