Van Dijk is desperate to leave Southampton having been courted by a number of top clubs this summer.
The Dutchman has handed in a transfer request in an attempt to force an exit but Southampton are standing firm in refusing to sell their star man.
He is wanted by Liverpool and Chelsea but it seems Arsenal have become the latest club to be eyeing a move for the defender.
The Gunners are understood to have met with Van Dijk and his representatives over a possible move.
The Merseyside outfit are favourites for Van Dijk and believe they can get a deal done for him before the end of the month.
But Wenger is also willing to wait for the Dutch international and could launch a move for him in January
Arsenal face a blockbuster clash at Liverpool this weekend.
Wenger takes his side to Anfield tomorrow afternoon, and he is boosted by the return of talisman Alexis Sanchez.