 Døssing left Dundee United after three years, having scored 76 goals in 115 appearances, returning to Denmark to play for Aalborg BK (AaB).According to the Danish rules of amateurism, Døssing was dictated a half year quarantine before he was eligible to play in the Danish championship.He entered an AaB team which had not won in their first eight matches, and helped the club finish in mid-table.