The Sochaux defender has been watched by the North London clubs in recent weeks and they are both keen to sign the 22-year old.
Corchia is a product of the Clairefontaine youth system in France and joined Sochaux in 2011 and playing over 50 first team appearances for the Ligue 1 club.
Sebastien Corchia has spoke of his desire to play for a top European club and confirms he will hold talks with club in the summer.
“I am happy when I am being mentioned with prestigious Clubs home and abroad,” he said.
“I am working hard to reach the top level and play in a bigger club than Sochaux, it is everyone’s ambition to move to a big club.
“I am a big fan of the two leagues England and Germany, they are the best two leagues at the moment.
“At the end of the season, I will sit down with the club and see the next step.”
Juventus and Lyon have shown interest in the young star, but Bayern, Arsenal and Spurs are heading the race to sign the French full-back.