A new point of view on the structure of the anomalous coupling states is proposed. In this point of view, the main component of the anomalous coupling states with spin I = (j-1) is considered to be the dressed three-quasi-particle mode, which has been developed in a previous paper, part I, as a new collective mode in spherical odd-mass nuclei. The excitation-energy systematics of the anomalous coupling states is theoretically made with the use of the pairing-plus-quadrupole force. From the numerical results, it is concluded that the excited anomalous coupling states with spin I = (j-1) can be recognized very well as the dressed three-quasi-particle states. The role of the three-quasi-particle correlation in characterizing the anomalous coupling states is investigated, and the importance of the three-quasi-particle correlation in the collective excitations in odd-mass nuclei is demonstrated.