The Frenchman has fallen out of favour at Stamford Bridge and a January move would be ideal for him.
According to The Sun, Villa are looking to bring in replacements for the injured Wesley Moraes and Giroud has been identified as a target.
The £110,000-a-week Chelsea striker has proven himself in the Premier League over the years and he would be a superb short-term addition to Dean Smith’s side.
Along with goals, Giroud will add presence to the side as well. He is very good at holding up the play and linking up with the midfielders.