If next week's vote is yes to independence, athletes would have a choice of competing under a new flag, or sticking with the British team.
Last May, a working group on Scottish sport, set up by the Scottish Parliament, concluded having a Scotland team at the Rio Games was feasible. But feasible and absolutely damn certain are vastly different positions.
Scotland provides around 11 per cent of athletes to UK Sport, which distributes about 350 million ($700 million) of funding, Government and lottery, to sport every four years.
Scots won one in five of the 65 medals Team Great Britain won in London two years ago. It produces outstanding athletes. Think Chris Hoy and Andy Murray for a start.
By the end of the Commonwealth Games in Glasgow, there was a strong belief the Scots had done a quality job in terms of organising the event. There were frequent surges of pride at the performance of Scottish athletes. There was an argument that by extension, with the referendum coming up, Scotland had demonstrated its capability as a stand-alone nation.
For those committed to voting yes, the idea of their Scotland competing in Rio would be a source of immense satisfaction. Conversely, to take the biggest of steps, then be told, "tough, you can't be Scotland in Rio" because of sport/political hurdles, would leave a desperately bitter taste.