Yohan Benalouane has struggled to make an impact since signing for Leicester City in the summer.
The Tunisia international only moved to Leicester in the summer transfer window, but he has struggled to make much of an impact at the King Power Stadium.
Benalouane has generally been used as third choice in Claudio Ranieri’s side, with Wes Morgan’s and Robert Huth’s partnership being formidable.
Norwich still believe that Benalouane could enhance their defence, as Alex Neil looks to improve his backline.
The Canaries have already brought in Timm Klose and Ivo Pinto during January, but Neil is still looking for more defenders.
Norwich conceded five times in their last match, against Liverpool, highlighting the defensive weaknesses in their squad.
Leicester are said to be willing to listen to offers for Benalouane, and Norwich could make an offer in the coming days.