David Moyes's side reached the knockout stage after finishing at the top of Group A with four wins and two draws from their six matches.
Olympiacos, who are currently on a 19-game unbeaten run, had to settle for second place in Group C, pipping Benfica on goal difference.
The two teams have met a total of four times down the years, with United winning on all four occasions.
Man United: LWLDDW
Possible starting lineups
Olympiacos: Jimenez; Salino, Papadopoulos, Manolas, Holebas; Campbell, Samaris, Ibagaza, Machado, Fuster; Scepovic
Man United: De Gea; Smalling, Ferdinand, Vidic, Evra; Carrick, Fletcher, Fellaini, Young; Rooney, Van Persie
Sports Mole says: 1-2