It's certainly an intriguing move but Luiz will fill the gap left behind by Koscielny as he'll provide leadership in the Arsenal defence and he knows the Premier League well so he could turn out to be a shrewd piece of business.
In a surprise update, major French outlet L'Equipe via (GFFN) state that the Brazilian is hell-bent on moving north of the capital and is seeking to "force" a move to Arsenal.
"We have a lot of defensive players".
However, it doesn't stop there.
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Luiz chose to leave Stamford Bridge after Frank Lampard refused to give him the assurances he wanted about his role as a first team regular but Chelsea won't be able to sign a replacement due to their Federation Internationale de Football Association imposed transfer ban.
After failing to sign Philippe Coutinho from Barcelona, Arsenal appear to have locked this particular deal down by the looks of things.
After a prolonged chase which has stretched throughout the summer, Goal can confirm the Gunners are close to securing long-term target Kieran Tierney in a £25 million ($30.4m) deal from Celtic while a shock move for David Luiz is looking increasingly possible.
There is even the added help that Luiz is a client of Kia Joorabchian, who recently installed Edu as the Technical Director at the Emirates Stadium.
Chelsea's stance on the matter may prove unwavering, with the club now under a transfer embargo meaning they would not be able to register any replacements ahead of the deadline.