A surgical access apparatus including a cannula defining an internal lumen, the cannula having a connection for receiving insufflation fluid. The apparatus also includes an obturator assembly, the obturator assembly configured to be inserted through a cannula so as to define an interstitial space between the cannula and the obturator assembly. The interstitial space is in fluid communication with the cannula connection so as to convey the insufflation fluid. The obturator assembly includes an obturator shaft having a hollow interior and a tip member at a distal end of the obturator shaft. The tip member is configured to penetrate and/or dissect through tissue. The tip member has an outer surface that defines a channel, the channel being in fluid communication with the interstitial space to as to convey the insufflation fluid from a proximal end of the tip member to a distal end of the tip member.