Bibby was called up to play for the England national rugby sevens team in 2012 in the Scotland Sevens. He also competed for England at the 2014 Commonwealth Games. In 2016, Bibby declared his intention to play at the 2016 Summer Olympics for the Great Britain national rugby sevens team. However he received a shoulder injury in the Australian Sevens which could have jeopardized his participation, however he was able to rejoin the Great Britain team for training. In July he was chosen for the final Great Britain Olympic team. In the quarter finals of the Olympic rugby sevens tournament, Bibby scored the decisive try and golden point in extra time for Great Britain against the Argentina national rugby sevens team after a 0–0 draw.