According to the Daily Mail, Sunderland have asked Arsenal about the possibility of taking right back Mathieu Debuchy on loan for the rest of the season.
The Black Cats have already made three signings during the January transfer window, with goalkeeper Steve Harper, defender Jan Kirchhoff and striker Dame N'Doye arriving so far.
However, after Sunderland's 1-1 draw with Bournemouth did them no favours in the fight against relegation, Allardyce will want more additions brought in before next week's transfer deadline.
Now, the Daily Mail report that Allardyce has been in contact with Arsenal over a possible loan deal for right back Mathieu Debuchy this month.
The 30-year-old right back is behind Hector Bellerin in the pecking order at the Emirates Stadium, and needs to play first-team football ahead of France's Euro 2016 campaign.
Debuchy would offer experience in Sunderland's fight against relegation, and can return to Arsenal at the end of the season to potentially seek a permanent exit, should he impress elsewhere. Sunderland do have Tottenham right back DeAndre Yedlin on loan, but he hasn't made much of an impact so far, and Debuchy's possible arrival could see the American return to Spurs.
However, L'Equipe reported earlier today that Debuchy could be on his way to Aston Villa, joining up with his compatriot Remi Garde in their own fight against relegation - and they state that Debuchy isn't prepared to join a struggling side permanently, but will join on loan.
That could give Sunderland hope of hijacking his move to Aston Villa, but Allardyce will have to move quickly if he is to lure Debuchy up to Wearside.
Would Debuchy be a good signing for Sunderland?