The 43-year-old was very pleased with the Old Lady's display at San Siro and is eagerly anticipating the match against Bayern Munich
The reigning champions grabbed an early lead via Fabio Quagliarella before Rodrigo Palacio restored parity after the break. However, Alessandro Matri eventually helped Juve to the three points with his goal at the hour mark.
"Today we have taken another step toward the finish line. We still have eight games to go, though, and the teams behind us are ready to take advantage if we slip up," Conte said at a press conference.
"We got a great result against a superb team. Inter beat us at home and they drew and won against AC Milan. They can beat any team and our win shows that we have grown as a team. We put in a great performance."
The Juventus coach then went on to discuss the upcoming first leg of the quarter-final tie against Bayern Munich.
"We are travelling to Munich full of enthusiasm, knowing that we did what we had to do in the league," he added.
"We want to keep our Champions League dream alive and see at what level we are. We go into the game without fear. We want to find out how big the gap with the European top is."
Tuesday's match at the Allianz Arena is scheduled to kick off at 20:45CET.