The course of the Sauvage River crosses the territories of the municipalities of Sainte-Cécile-de-Whitton and Saint-Romain, Le Granit Regional County Municipality (MRC), in the administrative region of Estrie, on the South Shore of the St. Lawrence River, in Quebec, Canada.

This head point of the river is located between "Lac à la Sangsue" (length: 0.8 kilometres (0.50 mi)) and Lac de la Souris, in a small valley on the eastern slope of "Montagne de the Craque".

This place is located west of lake Mégantic, south of Grand lac Saint François, north of Mont Sainte-Cécile, north of the village of Sainte-Cécile-de-Whitton and southwest of route 263.

The Sauvage River generally flows in a forest area to the west.

The toponym "Rivière Sauvage" was officially registered on April 4, 1979, at the Commission de toponymie du Québec.