By solving the Thiele equation with simultaneous application of a radio-frequency (rf) magnetic field (h rf ) and an rf spin current ( j sp ), the dynamic susceptibility of exchange-coupled vortices in response to h rf and j sp was obtained. It was found that the four eigenmodes expected for two vortices trapped in a magnetic elliptical disk were coupled to different components of h rf and j sp . As a consequence, orthogonal h rf and j sp (which are simultaneously generated by the application of an rf current to an elliptical disk) can excite two modes with different eigenfrequencies. This result suggests that a fieldlike nonadiabatic torque caused by an rf spin current can be spectroscopically distinguished from the one caused by the rf magnetic field.