The 25-year-old's contract is due to run out at the end of the current Bundesliga campaign and the former Augsburg player would be free to walk away.
Traore has been linked with a number of Premier League clubs, including Aston Villa, Southampton and West Ham.
But Bobic is determined to hang onto the services of the French-born Guinea international, despite the player only being sparingly used by head coach Thomas Schneider.
"We are aware of the contract situation regarding Ibrahima Traore," former Germany striker Bobic told Deutsche Presseagentur.
"We appreciate him being at our club and our intention is to keep him at VfB Stuttgart. There is no doubt about that."