The club believes that a 12-month loan would be beneficial for Fort's development and is open to the idea.
However, Barcelona prefers a straight loan arrangement to maintain control over Fort's future.
Paris FC is in contact with Barcelona, but they are facing competition from other La Liga clubs.
Fort recognizes that he needs to leave Barcelona to get regular playing time, as he currently sits behind Jules Kounde and Eric Garcia in the right-back pecking order.