Abdellaoue, the Norway international, has been at Hannover since 2010.
The striker has scored 31 goals since switching to the German side and is believed to be on the radar of Arsenal, West Ham, Roma and Lazio.
His representative Stig Lillejord is aware of interest in the 27-year-old and says his client could be open to offers next month.
He told Calciomercato: "I know the rumours but no-one has contacted me. So far there have been no formal offers. What if something happens in January? Then we have to ask Hannover."