I don't know why you and chelsea fans seem convinced Klopp would have gone to you,it was reported before he got the job by a close friend of Klopp's that he would not go to a team with lots of money because it would against everything he does in football,he is a manager who likes to make player's into stars with development and not buy established stars,which is far from what you and chelsea do.
Liverpool was the perfect fit for him and that deal was done after he announced his sabbatical late last season,the only reason Rodger's was given the dreaded vote of confidence in summer was Klopp was adamant he wanted a break for a few months,soon as it went tit's up for rodger's this season,FSG pulled the trigger.