The 22-year-old has emerged as one of the finest full-backs in Ligue 1 this season, turning in a number of top notch performances for the relegation battling club.
This has seen interest in his signature increase recently, with both Arsenal and Tottenham believed to be monitoring his situation.
But, they will have to beat advances from a number of top European clubs, with a summer bidding war looking likely.
Sochaux are believed to value their man at around £8m, a fee the sort of teams being suggested would be able to match relatively easily.
Spurs are thought to be highly interested Corchia, with manager Andre Villas-Boas keen to build his squad and present current first choice right-back Kyle Walker with a battle for the position.
Arsenal are also in the running, with the long-term future of Bacary Sagna in doubt.
Corchia was a youth player with Paris Saint-Germain before carving out his senior career with Le Mans.
After some impressive displays in Ligue 2 during the 2010/11 season, Sochaux moved for his signature.
Although he is yet to earn an international cap, he has represented France at U-21 level.