Kucka was expected to move to San Siro in the summer of 2012, but his arrival could be brought forward by six months.
"I don't know anything about the stories suggesting that I will be moving to Inter in January," said the midfielder.
"Sometimes I think that you journalists actually have more information about my future than I do.
"The only thing that I know for sure is that I want to go back to Genoa and give my all for the Rossoblu jersey.
"That is my priority for now."