  In a recent letter, Milione et al. reported the Pancharatnam-Berry phase
(PBP) on a higher-order Poincar\'e sphere (HOPS) [Phys. Rev. Lett, 108, 190401
(2012)]. They used two spin-orbit converters (SOCs) to make a trajectory along
the HOPS. However, the SOCs actually do not make a path on the HOPS. We briefly
discuss a way of acquiring a PBP made by SOCs.
