The paper focuses on the pressure amplitude response of deep cavities at low Mach numbers with wall offset between the leading and trailing edges. Three wall offsets of , and are considered for different Reynolds numbers and values of length-to-depth ratio (=0.24, 0.48 and 0.65). Present experiments show that for deep cavities, oscillations of discrete frequencies can be produced even in configurations with wall offset. Convection velocity along the shear-layer, measured using velocity cross-correlations, exhibits clear and dependencies which suggests that the original Block’s model, which predicts the dominant frequencies, should be revisited to take into account for wall-offset distances. For wall offset of , a significant attenuation of the pressure oscillation has been observed while for cases with , the pressure oscillation frequency peaks is shifted compared to the reference case without wall offset.