A control circuit that operably couples to a display and to a nerve block injection pressure sensor provides a display of both a current nerve block injection pressure value and a current nerve block injection pressure categorical range. That categorical range can comprise, for example, one of a plurality of available categorical ranges which may be visually differentiated from one another by color. The control circuit can also detect (and display) a maximum nerve block injection pressure value (and/or calculate a mean nerve block injection pressure value) as corresponds to a given monitored nerve block injection procedure. The control circuit can also detect negative nerve block injection pressure events and identify those events as aspiration events to facilitate keeping a count of aspiration events during the course of a given nerve block injection procedure. The control circuit can also help ensure observe of the proper patient laterality if desired.