The Mirror reports that Wenger is desperate to strengthen his defence in the January transfer window.
The Gunners are currently struggling with injuries to Thomas Vermaelen and Sebastien Squillaci.
Wenger has previously been linked with a move for Bolton ace Gary Cahill, but his club are not interested in selling the defender in the January transfer window.
Blackburn are reportedly looking for around £10million for Samba, while Wenger is ready to make a bid of around £6million.