Hassen was forced off early in Volgograd and will not recover in time to continue in the tournament. He will instead return to his French second division club Chateauroux for further treatment.
The injury occurred when Hassen collided with England midfielder Jesse Lingard and he was replaced by Farouk Ben Mustapha, who conceded a last-minute Harry Kane goal as England won the Group G encounter.
assen switched his international allegiance to Tunisia earlier this year and made his international debut in March. He had previously played for France at under-21 level.