Klopp will not be sacked by Liverpool management, this is a trying times for Klopp and Liverpool, every team do have trying times. They have to be patience with him. Klopp is an experienced coach and if Madrid bid for him, is not a bad either he will deliver the club.
Klopp has stated that he will not be leaving liverpool until the management will decide to sack him from the club.
He has made statements
I have too much responsibility and I want it and I want to sort it again, Klopp said. I am 100% committed. If we win I feel like I was part of it but if we lose I feel 100% responsible. I was always like this in my life, so you can imagine how big the responsibility at the moment is and how I feel now and we will do absolutely everything to get through this and prepare the very positive future again.
source:
https://www.theguardian.com/football/2023/feb/12/jurgen-klopp-100-committed-to-rebuilding-liverpool-after-slump-in-formThat proves if klopp wanna commit to the club for long term. As far as i know if liverpool was also supporting him by signing new players for him in the future.
source:
https://www.liverpool.com/liverpool-fc-news/transfer-news/liverpool-transfer-joel-matip-klopp-26218526This condition can only happen if indeed he can survive in the top 4 positions.
Seeing their goal if the top 4 is not achieved I think it will be a bit difficult if Klopp is forced to stay although in the end we don't know what will happen but I think with them not getting into the Champions League as they normally do it will make the club think repeat even though he previously served at Liverpool but if indeed he is not going well this season then it is a failure that threatens his position.