Moses has been sidelined with a hamstring injury which he sustained in the 2-1 loss away to Crystal Palace in mid-October, with Conte often opting to play Azpilicueta in place of the 26-year-old.
But he told Goal: "I'd say Azpilicueta [has influenced me most]. He played a huge part in my defensive development last season.
"He is always behind me, always constantly talking to me to make sure I am in the right position. When is the time to go and when's the time to stay.
"He understands me. We established a partnership which was very good.
"To me, I would say that Cesar is underrated. As a defender he has got everything. He's quick, he's got that desire, passion for the game. He just wants to play football. Azpilicueta is never tired. He can run all night in every minute. He wants to play every game.
"It is great for us that we have him. He's someone that loves the game. He is always talking to every player before games. He wakes everyone up and says we have got to go out there and win this game."