Managerless Scotland face Slovenia, North Macedonia and Switzerland in their Nations League campaign, with the away game against the Swiss the last match in November.
Switzerland were expected to host the game in the 30,000-capacity Stade de Geneve, but have now decided to play it instead in the 19,694-capacity Kybunpark in St Gallen instead.
The Swiss were embarrassed after only 12,757 fans turned up for their World Cup qualifier against Slovenia in Basel last year and have opted for a smaller capacity against the Scots.
Swiss FA president Peter Knabel explained: “The venue for the Scotland match is because of logistical reasons, the size of the stadium, our capacity to fill it and also the cost all factored into the decision.”
They will play their other two home Nations League games in Lucerne.