The Serie A champions travel to Santiago Bernabeu for the Group B tie, and Conte has said that they will not go into the game worrying about the talent at Madrid's disposal.
Instead, the Italian tactician preferred to focus on what his team can do to their opponents.
"We respect Real Madrid, but have no fear," Conte told reporters.
"We are stepping onto the field well aware of our capabilities. This is going to be very tough, but it is an opportunity for us to give our all and prove ourselves too.
"We will play our game at the Bernabeu against one of the most successful clubs in the world. Tomorrow we'll have to know how to suffer under pressure, but we must also be able to hurt them."
Madrid are currently top of Group B with maximum points from their first two games, while Juve are second with two points.