The lineal heavyweight champion has called out Bellew since David Haye cancelled his rematch with the Liverpudlian last week.
Bellew was scheduled to face Haye again on December 17, but is now without an opponent or fight despite going through almost 12 weeks of camp.
Fury has offered to fight Bellew in May as part of his comeback year in boxing and explained he believes his fellow Brit has two advantages over him.
‘He says he’s not frightened of big guys and he wants to fight the biggest of them all.
‘I don’t know how realistic he is with his comments on Soccer AM but that’s another lucrative fight for both fighters and we are in this to make a living and take punches to the face, which would be a good fight for me,’ Fury told Talk Sport.
‘Tony is a quick fighter and with him being a cruiserweight/light heavyweight he will have the speed and movement over me, which could counteract my size, and he also has quite a lot of power.
‘I’ve seen him knock quite a few people out.
‘Maybe it’s a difficult fight for me but that’s a fight I would take.’
Bellew has insisted he is interested in the Fury fight, but he and the rest of the boxing world is waiting for the former unified heavyweight champion of the world to return to action.
Fury has not fought since November 2015 due to UKAD and mental health issues.
The British Boxing Board of Control will not re-issue Fury’s boxing licence until he is cleared of a doping charge.
UKAD is set to resume the hearing into a potential doping violation by Fury in December.