A diverting pulley adapter is provided for converting an existing pulley, the adapter enabling a maintenance of an existing running path for diverting a suspension, like an elevator-rope or an elevator-belt, the adapter having a base with at least one fixing component for anchoring the adapter, at which base a set of pulleys is provided. The adapter includes a first deflection pulley being mounted rotatable on its rotation axis, and at least a further second deflection pulley being mounted rotatable on its rotation axis, wherein the rotation axes of the pulleys are interspaced, respectively. The positions of those pulleys forming the set of pulleys are adjustable in view of their fixation, respectively, and symmetrically in relation to the fixing component.