The Italian giants have already been in contact with the French midfielder’s representatives.
Juventus is keen on brining in Malouda as a replacement for Pavel Nedved, who announced last month he will retire at the end of the season.
A top source at the Old Lady told The Sun: “We have been looking at a number of options and Malouda is very high on this list.
“Let’s see what happens at the end of the season.”