A fluid pump has at least one impeller blade which is rotatable about an axis of rotation and conveys a fluid in operation. The fluid pump has a support device which supports the at least one impeller blade in at least one support region. The support device is changeable between a first state in which the at least one impeller blade is radially compressed and a second state in which the at least one impeller is radially expanded. The at least one impeller blade extends at least partly radially inwardly with respect to the axis of rotation from the at least one support region in the radially expanded state of the blade.