But the Arsenal boss claims the France international's inclusion is now in doubt, with the forward set to be examined on Tuesday.
"We have a few problems. Some with [Mesut] Ozil but the main one is Giroud, who has a knee problem. He will have a test tomorrow and hopefully he will be fit. But it will only be decided tomorrow," Wenger told the club's official website.
When asked about a potential replacement if Giroud is ruled out, Wenger replied: "I have not really thought about it that much but the obvious solution is [Theo] Walcott. We’ll see."
The Arsenal boss has also confirmed Per Mertesacker is available after missing his side's victory at the Stadium of Light through illness and is optimistic Ozil will also be fit to face Marseille.
"There is good news. Mertesacker will be available again after illness," said Wenger.
"He [Ozil] was ill and has some tight muscles after Saturday. But I think he will be okay. We are optimistic."