Kim Kallstrom could return from injury ahead of schedule after beginning his rehabilitation in Sweden, reports the Daily Mirror.
The Swedish international signed for Arsenal on loan on transfer deadline day despite the fact that his medical with the Gunners revealed a micro fracture in his back.
With no time to find an alternative, Wenger signed him anyway even though he would have to wait six weeks before his new signing became available.
But after sending the 31-year-old to his native Sweden to be treated by former England doctor Leif Sward, Arsenal hope that Kallstrom will return earlier than feared.
He is expected to stay in Sweden for a large part of his rehabilitation before returning to Arsenal's London Colney to complete it.
The Gunners need for an experienced midfielder was evident last night, as a lethargic Arsenal were held to 0-0 draw by struggling Manchester United.
Wenger failed to bring in any significant reinforcements in the January transfer window and has since seen his Arsenal team drop off top spot.
The only consolation for Wenger is that Kallstrom's parent club Spartak Moscow have agreed to pay his wages while he recovers from injury.