When measuring core body temperature in a patient, a curved sensor (10) is provide that has a predefined radius of curvature to fit comfortably and closely to a patient�s forehead. The sensor (10) has at least one releasable securing strip (e.g., VelcroTM) that couples the sensor (10) to a headband (14), as well as an adhesive strip (16) that is positioned along one edge of an interior surface of the sensor (10) and couples the sensor (10) to the patient�s skin. The adhesive strip acts as a hinge that facilitates inspection of the skin beneath the sensor without complete removal of the sensor, and the headband and curvature of the sensor provide a snug fit of the interior surface of the sensor against the patient�s skin.