The Portugese under-21 international has been linked with clubs such as City, Juventus and Atletico Madrid.
City’s technical director Mike Rigg told a Portugese newspaper: “We are always looking at players and I can’t deny Carrico is an interesting player.
“But we haven’t decided on this subject and we are respectful as a club towards other clubs and contacts.”
Carrico’s contract with Sporting is set to expire in the summer of 2013.