The four-time winners have started their league campaign with a disappointing tally of nine points from five Eredivisie games.
Laurent Blanc's side reached the quarter-finals of the competition last season before being knocked out by Chelsea on away goals.
Ajax exited the tournament at the group stage last season before being knocked out of the Europa League in the round of 32 by FC Salzburg.
Possible starting lineups
Ajax: Cillessen; Van Rhijn, Viergever, Veltman, Moisander; Boilesen, Schone, Klaassen, Serero; El Ghazi, Milik
PSG: Sirigu; Camara, Van der Wiel, Maxwell, Marquinhos; Motta, Pastore, Verratti, Lucas; Ibrahimovic, Cavani
Sports Mole says 0-2