Luiz failed to train with the Chelsea first team on Wednesday and is expected to complete a deadline day move to Arsenal.
Frank Lampard doesn't consider the Brazilian to be a big part of his plans this season, and is open to letting him leave to a rival.
Luiz would set the Gunners back just £8million - considerably less than the £60million RB Leipzig slapped on the head of previous centre-back target Dayot Upamecano.
Chelsea fans have noticed that Luiz has apparently removed the Blues' name from his Twitter and Instagram bios this Wednesday.
The Brazilian's background image - on both social media channels - still shows him wearing a Chelsea shirt.
But some supporters are convinced that the removal of his name is telling.
One fan tweeted: "David Luiz has just removed everything that's got to do with Chelsea from his Twitter bio," while another added: "David Luiz removed Chelsea from his bio!? Hmm interesting."
A third wrote: "Luiz can't even wait to be announced. Man removed "Chelsea player" from his bio," and a fourth concluded: "David Luiz has removed Chelsea bio text from his twitter handle... Hmm."
