A pump for conveying a liquid, having a pump housing that has at least one inlet and at least one outlet, an eccentric element being rotatably arranged in said pump housing and surrounded by a deformable membrane, the deformable membrane and pump housing delimiting at least one conveyor path from the at least one inlet to the at least one outlet and forming at least one seal for the conveyor path, and the seal being able to be displaced along the conveyor path by a movement of the eccentric element. Between the eccentric element and the deformable membrane, a spring layer is arranged by the eccentric element and deformable membrane are tensioned relative to one another.