A glove for preventing the wearer from sucking a thumb or one or more fingers comprises a glove body made out of fabric that has a hand portion which receives the hand and a digit portion which receives the thumb and fingers. The digit portion comprises a tubular, open ended digit receiving member for each digit. Some of these are configured as affected members for receiving the affected digits, those being the digits the wearer normally sucks. The affected members extend substantially the entire length of their respective digit. At least one anti-sucking component, preferably an elongated tube, extends along the length of the affected member, but not completely to its open end. The channel defined by the anti-sucking component prevents the wearer from achieving a vacuum against the affected member, thereby preventing suction. The glove has a securing mechanism that prevents the wearer from easily removing the glove.