The Bundesliga side have long been linked with a move for the Senegalese striker, who has scored seven goals in six outings for United's reserves this season.
"There have been discussions with his agent. We have shared our thoughts. I am now waiting for a response," Hannover sporting director Jorg Schmadke told Bild. "He is fast, robust, and direct."
Diouf spent last season on loan with Blackburn Rovers.