Juve won the first leg at San Siro last week 2-1, with a double from Cristiano Ronaldo overturning Lautaro Martinez's opener.
Inter bounced back with a 2-0 win at Fiorentina on Saturday (AEDT) and needs a victory at Allianz Stadium on Wednesday if it is to make the Coppa final for the first time in 10 years.
However, the Nerazzurri have not been victorious away at Juve since a 3-1 triumph in November 2012, while the Bianconeri are unbeaten at home in the Coppa since a 2-1 loss to Fiorentina in March 2015.
Inter beat Juve 2-0 at San Siro in Serie A in January and Conte knows it will be a tall order for them to repeat the trick against his former club.
"We need to go out and play the game with desire and determination like we have shown in the previous two games," Conte said.
"We need to be braver, to build on what happened in the last game and try to be perfect because to beat Juventus you must play a game that borders on perfection.
"Regardless of victory, whoever wears this shirt has an obligation to make our fans proud, this must always be our mission.
"The best way to give the players the conviction to win the game and try to get through the round is through hard work, and preparing for the match in the right way, as we have done."