Well, now Liverpool are without a manager. And Mourinho's Chelsea future, for once, is in doubt.
If you want trophies - and a league title - there is no one better. Here is a man who has won leagues all over Europe and the Champions League twice, one during a historic treble and one, amazingly, with Porto.
The two biggest criticisms he has received, meanwhile, are that his sides play counterattacking football (and that that meant he couldn't win the Champions League with Real Madrid) and that things usually fall apart after two years.
Well, one suspects Liverpool fans wouldn't care about things falling apart after two years if Mourinho brought the title to Anfield. And they wouldn't care if the Reds only counterattacked for the very same reason.
The Chelsea boss notoriously needs money to build teams but FSG have clearly spent hundreds of millions on players in recent years.
For now, it seems like the impossible appointment. There are three main reasons. Firstly, Mourinho is still Chelsea boss and, should he pull things round after the international break, will likely remain so for good.
Secondly, there is plenty of bad blood between Liverpool fans and the Portuguese coach. Thirdly, of course, the Reds will likely appoint a new manager during the international break. Carlo Ancelotti and Jurgen Klopp are both free agents.
But, should Mourinho leave Chelsea with the Liverpool vacancy still free, there is no one better in world football to create a team that could actually bring the Premier League title, and trophies in general, to Anfield - however quickly things fell apart thereafter.
For all the hate between Mourinho and Liverpool fans, those who value success would surely welcome him with open arms were he actually available. And the Kop would happily pay any price if it meant they were proper title contenders - with a title-winning manager at the helm.