The Azzurri are now sixth in the standings after victory over Chievo on the weekend.
"Chievo showed themselves to be a good team and it's not a fluke that they have 24 points in the table," Hamsik explained. "It was a tough game, a very important victory. We hope to continue playing like this also at the start of the New Year.
"We are not thinking about the Europa League, but we'll keep going game-by-game."
Asked about Napoli's prospects of finishing fourth and qualifying for the Champions League, Hamsik said: "It's a dream."