Based on the spin flip model (SFM), the bandwidth characteristics of the polarized chaotic signals generated subject to dual chaotic optical injection are studied theoretically. The research results show that, in contrast with the case of single chaotic optical injection, the dual chaotic optical injection weakens the injection locking effect, and the vertical-cavity surface-emitting laser (VCSEL) can achieve wideband polarized chaotic signals in a wider range of the parameter space of injection intensity and frequency detuning. Under the given injection intensity, when two frequency detunings associated with the dual chaotic optical injection possess large absolute values, the system is more inclined to produce wide-bandwidth polarized chaos. Under the given frequency detuning, the specific region in the parameter space of two injection intensities required for generating wideband chaos can be determined and expanded if a positive frequency detuning is chosen.