According to Sky Sports Italia, the deal will not be completed until the Gunners finalize Pierre-Emerick Aubameyang’s transfer from Borussia Dortmund.
On Monday night, Italian football expert, Gianluca DiMarzio, confirmed that talks between the two London clubs “are progressing well”.
Giroud was pictured in Arsenal training on Monday, ahead of their Premier League trip to Swansea City on Tuesday, in deep discussion with manager Arsene Wenger.
Antonio Conte is in search of a target man in the winter transfer window.
The window closes 11pm on January 31.