Starsport can reveal the champions are ready to let Luiz join Arsenal as part of a deal to take badly-needed striker Giroud to Stamford Bridge.
And if Giroud does sign, that would release the Blues’ Belgium forward Michy Batshuayi to go to Borussia Dortmund – which would allow hitman Pierre-Emerick Aubamayeng to finally join the Gunners for £55m.
Dortmund also want France star Giroud, who Arsenal boss Arsene Wenger has valued at £35m – but Chelsea misfit Batshuayi is their first pick.
Starsport revealed last month Wenger wanted to bring in Brazil centre-back Luiz, 30, to boost his backline.
He also has had West Brom’s Jonny Evans on his radar but has been unwilling to pay £25m for the Irishman.
Chelsea asked about Giroud after deciding against Roma’s Edin Dzeko due to his wage demands and the length of the deal the 31-year-old wanted.
Talks initially centered on Giroud signing on loan until the end of the season.
But Chelsea have now tried to move the deal along by offering Luiz, having bolstered their own defence with the impending arrival of £25m left-back Emerson Palmieri from Roma.