The 22-year-old has excelled since arriving at the Stade Auguste Bonal from Le Mans two years ago, which has attracted the attention of a number of clubs in France and England.
However, Les Phoceens boss Elie Baup is thought to be weighing up a fresh move in January.
The French Under-21 international refused to rule out a move away from the Montbeliard outfit, although he is not giving any thought to his future at the moment.
"I know what I have to do now during matches and I will see what happens in the next windows, but at the moment I want to work with my club," he told L'Equipe.
"[Leaving in the winter] can be a possibility, Sochaux negotiate with interested clubs. I prefer to focus on the present at the moment."
Corchia spent two years at Paris Saint-Germain as a youth player before moving to Le Mans, where he broke into the first team, in 2009.