Stanciu only moved to the Belgian side from Steaua Bucharest in August, but has impressed with five goals and four assists in 20 outings so far.
According to Transfermarkt, Anderlecht paid just shy of £7 million for the 23-year-old, whom the Sunday People claims is now valued at £10 million.
Reports have suggested that Sunderland boss David Moyes will have limited funds to work with next month, although HITC sources understand that a £20 million kitty could be made available.
According to Spanish outlet Sport, Stanciu was close to joining Southampton in the summer, but the Saints instead signed Sofiane Boufal.
Would you be happy to see Stanciu arrive at the Stadium of Light in January?