McCourt completed his estimated €45 million purchase of Marseille in mid-October, and immediately pledged to spend €200m over the next four years.
Nice president Jean-Pierre Rivere says he would keen to sign Paris Saint-Germain goalkeeper Salvatore Sirigu.
The source said the Blues had tabled a firm offer for the 17-year-old and are considered favourites to land him.
UEFA named a 40-man list for 2016 Team of the Year, encouraging fans to select their favourites from a group that includes 12 Premier League nominees.
Dante has told Le Journal du Dimanche he expected new Nice teammate Mario Balotelli to "be a lot crazier than he is."
A solitary Valentin Eysseric goal helped Nice maintain their three-point lead at the top of the Ligue 1 table, while Guingamp and Bordeaux draw.