The Bundesliga side are looking for a new coach after sacking Mirko Slomka last week.
But Yakin told Bild: "Hannover is not interesting. A change in the winter is not an option. My work in Basle is not yet over."
Slomka paid the price for a poor start to the season, with the club lying 13th in the table and having lost all eight of their away games this term.