Mbappe has been receiving numerous plaudits for his displays in the principality this season, with 20 goals from 46 appearances in all competitions - at the age of just 18.
That return has prompted a number of clubs to show an interest and the talented youngster has been labelled as the next big thing to come out of European football.
The youngster has been quick to play down the hype and remain humble but Deschamps believe that, after seeing him in training following his call-up to the full France squad, there is something very special about the player.
"He plays a lot at the moment and he also plays very well," he said. "He scores goals and makes goals for others. He is, I would say, in great shape.
"Given his age, he can still progress a lot. What he is doing now is extraordinary. What he’s doing now is extraordinary. He has great qualities.
"He’s calm and very mature for a fairly young player. That’s a great thing."