Apart from anything at this time it is really quite an emergency condition for Klopp if they are still like this.
Liverpool want to be in the top 4 but their game is still not able to be at that level and when compared to several other big clubs like Manchester United or Tottenham who want to target being in the same position they are still losing. This is clearly not very good and they will have to make a real splash if there is to be any certainty about Klopp's future.
In general, if Liverpool will fly out of the Champions League at an early stage, plus at the end of the season they will not get into the top 4, no one will be surprised if Klopp is fired. But it's quite an interesting situation: can any coach (other than a City manager with infinite money) guarantee a top 4 finish with such a crazy level of competition in the Premier League? It seems to me that no.