However, despite the apparent interest from the Championship side, new teams are being linked every day.
The former Rangers star has been linked with a return to Italian side Palermo this week, as well as a shock move to Red Star Belgrade.
But his agent Martin Lyon has spoken to Calcio Mercato regarding the Palermo interest and insists no contact has been made.
"I have not had any contact with the leaders of Palermo in relation to Lafferty , although they have my number.
"As for the others I do not think it is fair to comment on rumours of Norwich as Kyle is their player and has a contract that is still valid."
These comments do not rule out any potential move but it is clear Lafferty's representatives are wary of giving Norwich a reason not to be cheerful with him.
The comments also came on the same day the Leeds-linked forward was said to be interesting another former club. Blick in Switzerland suggest that FC Sion are keen on re-signing the player. Lafferty was a fan favourite during his stint at the Swiss club in the 2012-13 season before heading to Palermo.
A report in the Belfast Telegraph earlier this month suggested the forward was still on Leeds United's radar and that a January move looked likely.
Leeds boss Steve Evans is known to be a fan of Lafferty as is Cellino, who will know the player from his time at Italian side Palermo, and the Yorkshire club are in need of a striking recruit.
The Norwich City striker has been in fantastic form for Northern Ireland, helping them make the European Championships in France next summer with seven goals in nine qualifying matches.