The Guinea international aims to end Rafa Benitez's men's unbeaten run in this weekend's league encounter at San Siro
Gonzalo Higuain gave the Partenopei the perfect start before Lorenzo Insigne added a superb second from a set-piece to give Rafa Benitez's men a 2-1 win in Group F on Wednesday.
Napoli have been in fine form in the opening weeks of the 2013-14 campaign, but Constant is keen to end their unbeaten run when the sides meet this weekend in Serie A.
"Napoli have started the Serie A season pretty well and they won against Borussia Dortmund too. We’ll try to show that we’re the better side, though," Constant told Milan Channel.
"We have to work well in the next few days ahead of the Sunday evening match. We have to be ready to give our all regardless of the opposition."
The full-back then went on to praise Nigel de Jong following the Dutchman's fine performances so far this term.
He added: "Nigel is a very important player for us. He talks a lot on the pitch and makes himself heard. He’s a real leader."
Sunday's encounter is scheduled to kick off at 20:45CET.