Meanwhile Aston Villa are also predicted to lose in the Round of 16, to Borussia Dortmund, meaning Liverpool will be the only English side to reach the latter stages.
PSV are then tipped to meet Real Madrid in the next round and lose, with Carlo Ancelotti's side progressing to face Paris Saint-Germain in the semi-final.
The Gunners could face either PSV Eindhoven or Feyenoord in the next round after they beat Juventus and AC Milan respectively in the play-offs.
Manchester City were the first English team to be knocked out of the Champions League this season after falling to a 6-3 aggregate defeat to Real Madrid.
ARSENAL will be knocked out in the Champions League Round of 16 according to a supercomputer.