Kessie, 23, has fought for consistency in Milan, but has since stood out this year regardless of the Italian leaders languishing in tenth position in Serie.
Arsenal have registered their interest from the Ivory Coast international, but may face competition from West Ham.
The team is currently currently working on a couple of things but I am not expecting matters and you are aware of how hard this window is.
Arsenal have made enquiries about registering Franck Kessie.
Head coach Mikel Arteta is eager to bring in reinforcements in January, but Arsenal are currently targeting loan agreements instead of some signings.
Arsenal broke their transfer record summer to sign Nicolas Pepe and also the cost in the window that was past signifies the Gunners’ funding is tight this month.