The Frenchman's squad is down to the bare bones, with all four recognized fullbacks out injured, but he has apparently decided to not splash the cash on new players.
The Frenchman had been widely tipped to spend after a series of injuries struck his side.
However, the report suggests the Arsenal manager is not looking to buy any new players and is instead hoping his injured stars make a swift recovery.
Wenger is currently without a recognized fullback, with the likes of Johan Djourou and Thomas Vermaelen regularly having to fill in at fullback.
Such defensive woes have seen his side lose their last two Premier League games, shipping five goals in the process.
However, rather than spend Wenger is said to be hoping fullbacks Andre Santos and Kieran Gibbs make a swift recovery.
Arsenal currently sits in fifth place in the Premeir League, four points off the Champions League places, with champions Manchester United set to visit the Emirates on Sunday.