This study delves into the application of a coded cover to enhance the performance of an acoustic vector sensor (AVS) for sound source localization. A cover consisting of equally spaced channels of varying lengths, positioned above the AVS sensor, is investigated. In this setup, each channel operates independently, and their combined acoustic outputs are analyzed upon reaching the AVS. Interestingly, the entering points of the different channels can be viewed as a virtual uniform linear array (ULA), allowing the application of compressed sensing analysis methods. More specifically, a compressive covariance sensing (CCS) method is applied, which exhibits the potential to expand the number of detectable sound sources using a single AVS.