The Gunners host French opposition tonight, looking to make it two wins from two in Europe after starting their league phase campaign with a 1-0 victory away in Naples last month.
Hincapie was carried from the pitch by third-choice goalkeeper Illan Meslier and his is believed to be the more serious of the two injuries.
"They're both going to miss tomorrow's match, that's for sure," Arsenal boss Arteta said on Monday.
"Today they're going to have a further scan and probably tomorrow we'll know more and then we'll see how they're going to go."
Snubbed: Eberechi Eze missed out to Noni Madueke against Leeds with Christos Tzolis injured
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In the absence of Hincapie, Myles Lewis-Skelly could find himself returning to left-back.
Arsenal have been cautious with Riccardo Calafiori's fitness and, particularly after he made three appearances for Italy over the extended international break, Arteta could opt to rest him here.
Mikel Merino could well come into the midfield, while Eberechi Eze and Viktor Gyokeres will both hope to get rare opportunities to start.
Jurrien Timber is also an option to start at right-back if Arteta decides to keep sharing the minutes between him and Ben White.
Predicted Arsenal XI (4-2-3-1): Raya; Timber, Konsa, Gabriel, Lewis-Skelly; Rice, Merino; Saka, Odegaard, Eze; Gyokeres
Injured: Saliba, Hincapie, Zubimendi, Tzolis
Time and date: 8pm BST on Tuesday, October 13, 2026
Venue: Emirates Stadium
How to watch: TNT Sports