Both Thiago, 29, and Matip, 29, have been sidelined since last month’s bad-tempered Merseyside derby at Goodison Park, where Virgil van Dijk also suffered a devastating knee injury.
Thiago managed to stay on the field for the entire 90 minutes against Everton but has been struggling with a knee problem following a reckless challenge from Richarlison which resulted in the Brazilian being sent off.
And while Thiago’s issue was not as severe as some first feared, he’s still some way from a possible return despite being pictured in individual training at Melwood over the last few days.
Asked whether the Spain midfielder could be available for Sunday’s heavyweight Premier League showdown: ‘No, Thiago is probably not ready to return.
‘Maybe it was not 100 per cent clear what I said at the beginning, because I didn’t know, there was no surgery needed but it was still an injury.
‘With this kind of injury it’s always a case of looking day-to-day.
‘There can be big improvements from one day to the other in those kind of things.
‘But in the end, when the boy has no kind of problems anymore, then he has to train.
‘The longer he is out, the longer he has to train until we consider him again as a starting line-up player.
‘That means he will not be available for us on Sunday.’
Injuries to Van Dijk and Fabinho have meant Liverpool have had to rely heavily on inexperienced duo Rhys Williams and Nathaniel Phillips but Matip could feature on Sunday after returning to full training.
Klopp added: ‘With the centre-backs it’s been good!
‘The boys enjoyed the challenge, it was a challenge, it is a challenge so now we saw that they are obviously able to do some really special stuff and I’m really happy about that.
‘Yes, Joel is back and he’s now back 7-8-9 days in training which helps a lot.
‘So we will see what we do on Sunday.’
Pep Guardiola’s City, meanwhile, are languishing down in tenth spot after dropping points against Leicester, Leeds and West Ham already this season.