The Reds will look to build on their 4-3 victory over Salzburg last time out with another victory in Group E, with the Austrian side hosting Napoli at the same time.
Mohamed Salah was absent at Old Trafford, but returned to training on Tuesday and is part of the 19-man squad.
However, both Matip (sore knee) and Alexander-Arnold (virus) miss out, which will force Klopp into at least two changes from the weekend.
Young right-back Neco Williams trained with the first team before the flight but will instead join the under-19s for their UEFA Youth League clash.
Beyond Matip and Alexander-Arnold there are no other new injuries, but Xherdan Shaqiri is still sidelined.
Klopp should provide a more accurate assessment of his side’s fitness at his pre-match press conference, which will be held at 6.30pm (UK time).
Liverpool’s Travelling Squad vs. Genk
Defenders: Van Dijk, Gomez, Lovren, Robertson
Midfielders: Fabinho, Wijnaldum, Henderson, Keita, Milner, Oxlade-Chamberlain, Lallana
Forwards: Salah, Mane, Firmino, Origi, Brewster