PSG won the competition last season as former head coach Thomas Tuchel masterminded a treble triumph, beating Saint-Etienne 1-0 in the final.
That successful campaign started away to sixth-tier Linas-Montlhery and Mauricio Pochettino's PSG will be on the road again after being drawn against Guingamp or Caen.
The Ligue 2 sides are set to face one another on January 20 for the right to host the French champions in February.
PSG have won the trophy a record 13 times, including five of the past six editions.
Marseille will visit Troyes or Auxerre, while Monaco are heading for Clermont or Grenoble.