An access apparatus includes an access housing, an access member extending from the access housing, a fluid connector mounted to the access housing and a control valve mounted to the fluid connector. The control valve is positionable relative to the fluid connector between a first position corresponding to a desufflation operative state permitting rapid desufflation of the underlying body cavity, a second position corresponding to an insufflation operative state permitting insufflation fluid flow into the access member and into the underlying body cavity, and a third position corresponding to a closed operative state.