The Citizens eased to a 3-0 win over Marseille in their most recent European fixture, while Olympiacos suffered a 2-0 defeat to Portuguese champions Porto on matchday two.
After a few underwhelming runs in the Champions League, Man City firmly have their eyes on the prize for the 2020-21 campaign, and Pep Guardiola's men have already asserted their dominance over Group C with two convincing victories against Porto and Marseille.
The Citizens followed up their 3-1 home win against the Portuguese champions with a comfortable 3-0 triumph when they crossed the channel to take on Marseille, although the French outfit did themselves no favours with a couple of mistakes - something which can never be afforded even against a City side without a recognised striker.
Indeed, with Sergio Aguero and Gabriel Jesus both on the treatment table, Ferran Torres was thrust into an unfamiliar central role, but the young Spaniard notched up his second goal in as many Champions League matches at the Orange Velodrome, with Ilkay Gundogan and Raheem Sterling completing the rout in the second half.
City enjoyed another away victory with a clean sheet at the weekend following their win in France, but Guardiola's men only managed the one goal against a struggling Sheffield United side at Bramall Lane, with former Blade Kyle Walker returning to haunt his old club on Halloween with a thunderous first-half strike.
City will certainly be expected to prevail in this one given their strong form in the month of October, but Guardiola's men face a behemoth of a match against Liverpool before the international break, which is sure to come into the Spaniard's thinking as he looks to strike a balance between rotation and wrapping up the group as quickly as possible.
Olympiacos will be desperate to avoid becoming City's next victims, but the Greek champions will not be all that optimistic after they succumbed to a 2-0 defeat to Porto on matchday two.
Goals from Fabio Vieira and Sergio Oliveira saw Porto triumph in the battle between the two domestic champions, with Olympiacos unable to carry the momentum forward from their dramatic late victory over Marseille in their opening group-stage match.
Nevertheless, Pedro Martins's men managed to recover from their dampening defeat in Portugal as they asserted their dominance over the Super League at the weekend, with the current table-toppers marching to a 2-0 victory against Apollon Smyrnis on Halloween thanks to a quickfire double from Ahmed Hassan.
With City expected to maintain control of the group and secure top spot with minimal trouble, the fight for second place is very much on heading into the midway point, with Olympiacos, Porto and Marseille potentially all sitting on three points from as many matches should the latter overcome Porto and Olympiacos lose to City this week.
Tuesday's game represents the first ever meeting between Man City and Olympiacos, and the Greek giants will need to produce an exceptional performance if they are to make the long journey from Piraeus count for something.
Manchester City Champions League form: WW
Manchester City form (all competitions): DWWDWW
Olympiacos Champions League form: WL
Olympiacos form (all competitions): DDWWLW
Guardiola will most likely have to make do without both recognised strikers in Aguero and Jesus once again, meaning that Torres can look forward to another start up top, although Jesus is getting closer to a return and has a slim chance of being involved.
Manchester City possible starting lineup:
Ederson; Cancelo, Garcia, Ake, Zinchenko; Rodri, Gundogan, Silva; Mahrez, Torres, Foden
Olympiacos possible starting lineup:
Sa; Rafinha, Semedo, Cisse, Vinagre; M'Vila, Bouchalakis; Randjelovic, Valbuena, Masouras; El Arabi
We say: Manchester City 3-0 Olympiacos
Guardiola is sure to rotate given the hectic fixture schedule and next weekend's match with Liverpool to contend with, which could allow some up-and-coming players to be given a runout in Europe. However, City's starting lineup is sure to evoke fear into the hearts of the Olympiacos faithful regardless, and we cannot see any other result than a dominant win for the hosts to make it three out of three in the Champions League.