The Premier League leaders, who drew 1-1 with Manchester United on Sunday, journey to Belgium to face Genk on Wednesday night.
But Klopp will be with out England proper again Alexander-Arnold, who’s in poor health, and centre again Matip, who’s nursing a sore knee.
‘Trent is ill and Joel is not ready,’ Klopp advised Liverpool’s official web site.
‘It is just a bit factor which often settles within the two weeks [Matip] had; it did, however then it got here up after the United recreation and so now we simply have to ensure this time it settles lastly.
‘That’s all. It is just not a large harm, it’s only a bit annoying for him and he can’t do it [face Genk].
‘Trent got ill overnight; hopefully he can recover quickly, but for tomorrow there was no chance.’
Mohamed Salah missed Liverpool’s 1-1 draw with Manchester United at Old Trafford however resumed full coaching on Tuesday and is in competition to face Genk.
‘It’s completely good to have him again,’ Klopp added. ‘The squad is cool, it’s squad, every little thing is OK, however that’s all.’
Klopp additionally supplied an replace on Xherdan Shaqiri, who has not featured for Liverpool since final month after injuring his calf.
‘It’s simply taken just a little bit longer, that’s how it’s,’ Klopp stated. ‘We anticipated him to be again this week, however now he is just not right here clearly so we will see when he may be again.
‘It’s a very particular factor for him. It is just not a giant factor, it simply takes just a little bit longer than we anticipated and that’s all.’