The Hammers have won both of their games so far, beating Backa Topola and Freiburg to put themselves at the top of Group A.
After being crowned European champions by winning the Europa Conference League last campaign, David Moyes' side have become experts on the continent.
And they'll be aiming to keep up that form in Greece against an Olympiakos side that are yet to win in the competition so far.
Olympiakos vs West Ham: talkSPORT coverage
This Europa League Group Group A clash will take on Thursday, October 26.
Kick-off at the Stadio Georgios Karaiskáki in Piraeus, Greece is scheduled for 5:45pm.
The game will be broadcast live on TNT Sports 1.
talkSPORT 2 will have also live coverage of the game.
Commentary comes from Alex Crook and former Republic of Ireland international Andy Townsend.
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Olympiakos vs West Ham: Team news
The hosts will be without Doron Leidner is out with an ACL injury while centre-back Nicolas Freire could also be absent.
Former Nottingham Forest defender Omar Richards is carrying an issue and is expected to miss out on this clash.
As for West Ham, Ben Johnson and Aaron Cresswell are the only absentees.
The defenders have both returned to training after groin and hamstring injuries respectively, but a comeback this Thursday is too soon.
Moyes has the luxury of almost a fully fit squad and he will be able to field a strong side in Greece should he choose to do so.
Olympiakos vs West Ham: What has been said?
West Ham were beaten by Aston Villa at the weekend but Jarrod Bowen is keen to move on from that and return to winning ways.
The England international said: "When you lose a game, the next game you want to win, of course.
"You go into every game wanting to win, but when you come off a result like Sunday's the main thing is to put it right in the next game.
"That's what we'll be working towards for Thursday."
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Olympiakos vs West Ham: Match facts
West Ham's James Ward-Prowse has created 10 chances in this season's UEFA Europa League, more than any other player, while he has three assists so far; the last English player to record more assists in a single group stage in the competition was Bukayo Saka for Arsenal in 2019-20 (4).
West Ham have won each of their last eight major European competition group stage games - six in last season's UEFA Europa Conference League and two in this season's UEFA Europa League. The only English side to enjoy a longer group stage winning run in major European competition are Arsenal, who won 10 in succession in the UEFA Europa League from October 2020 to October 2022.
Olympiakos remain winless in their last 11 UEFA Europa League games (D3 L8); this is their longest ever run without a win in major European competition (excl. qualifiers).
Olympiakos are without a win in their last six home games against English clubs in major European competitions (D2 L4) since beating Manchester United 2-0 in the UEFA Champions League in February 2014.1
Olympiakos and West Ham last faced in the 1965-66 Cup Winners' Cup last 16, with the Hammers progressing 6-2 on aggregate over two legs in what remains their only previous encounter with Greek opposition in Europe.