The Reds were beaten 3-2 by the Premier League champions in the fourth round of the Carabao Cup in a memorable game at the Etihad.
It was a strong Liverpool team Klopp fielded, with the likes of Mo Salah, Darwin Nunez, Thiago Alcantara and Andy Robertson in the starting XI.
However, Alexander-Arnold and Van Dijk were not involved, despite not having known injuries, but Klopp explained why they were absent afterwards.
‘Trent was ill, like Ox [Alex Oxlade-Chamberlain] was until yesterday. Virgil trained today. All the others should be available apart from the long-term injuries.
‘The only one who is not here is Ibou [Ibrahima Konate] who will come next week.’
The long-term injuries Klopp refers to are Luis Diaz, Diogo Jota, Roberto Firmino and Arthur Melo, while Curtis Jones is close to a return.
However, there was another injury worry for Klopp which emerged on Thursday, with James Milner going off with a hamstring problem in the first half, replaced by Nat Philipps.
Klopp said: ‘Milly felt something in the hamstring. We hope it’s not an injury but he felt something. He doesn’t think it’s a lot but we will see.’
Liverpool are back in action on Boxing Day when they travel to take on Aston Villa in the Premier League as part of a very busy schedule after the World Cup break.
Klopp’s side host Leicester City on 30 December before going to Brentford on 2 January.
MORE : Brilliant Manchester City beat Liverpool in dramatic Carabao Cup goal-fest
MORE : John Barnes warns Liverpool over signing Morocco World Cup star
For more stories like this, check our sport page.
Follow Metro Sport for the latest news on
Facebook, Twitter and Instagram.
Share your story or advertise with us: Whatsapp: +2347068606071 Email: info@newspotng.com
