The Brazilian has been linked with a move to Barcelona for many months now, but things appear to be coming to a head.
The Express' Ben Jefferson says that the Catalan giants are waiting for their new manager to be confirmed before putting the finishing touches on a deal for the defender.
Jose Mourinho has never been particularly fond of Luiz, believing the Brazilian's excesses are too dangerous for him to play in defence.
However, the cautious Portuguese coach has had some joy when he plays Luiz in midfield.
Barcelona, however, will be less concerned about Luiz's positioning and more interested in how he can help the team to play the way they want to.
The centre-back loves to bring the ball out from the back, something that he has been taught not to do at Chelsea.
But for Barcelona it would work perfectly.
He is better with his feet that Javier Mascherano and Gerard Pique, and the sight of him running up to and even beyond the half-way line with the ball at the Nou Camp is something that may start being seen regularly.
Teams often sit back against Barcelona, and where the current defenders are happy to play it forward to Sergio Busquets and let him, Xavi and Andres Iniesta worry about breaching the defence, Luiz will want to play his part too.
One danger is that he will be caught out when teams play on the break.
Luiz is quick and can recover, but sometimes we've seen him at Chelsea just lolloping around when he needs to be busting a gut to get back in position.
That will be a job for the next Barcelona manager, Luis Enrique or whoever it may be, to worry about.
Mourinho felt he could not curb Luiz's tendency to do the unexpected, and it means that like he did with Juan Mata, he is willing to let a potentially world-class player leave.
Luiz's versatility is useful too.
Sometimes Barcelona look like they could use more drive and force in midfield.
With Xavi not as vital a cog as he used to be in the past, Luiz could play alongside Busquets to add more physicality and force in the centre.
Not only would this help them in La Liga but also in the Champions League, arguably more-so.
It is there that they have been found lacking when compared to Bayern Munich last season and league rivals Atletico Madrid this year.
While tiki-taka can outplay the majority of La Liga, when they come up against the cream of the crop in Europe, sometimes they need more speed and strength.
It hasn't always been a smooth ride for Luiz at Chelsea, but he will find things more to his liking in La Liga, and particularly with Barcelona.
He likes having the ball, and that wasn't always the case at Chelsea, who prefer to play on the counter.
Luiz is also good off the field and Chelsea supporters will be sad to see him go for that.
He breaks the mould, appearing intelligent and fun as opposed to brash and dumb like some other footballers come across on social media.
It is easy to see Catalonia taking to Luiz.
And just as easy to see Luiz taking to Catalonia.