The Italian outfit were unable to end their 10-year trophy drought after falling to Sevilla in the the final on friday night.
However, Conte has cast major doubt over his future in Milan after just one season in charge of the club.
"We're going to meet next week with the club and we'll decide about my future. I'm not sure that I'll be the Inter manager next season, we'll decide together," he told Sky Sport Italia .
"Inter will plan the future with or without me."
Meanwhile, Inter prsident Steven Zhang did not want to be drawn into discussing Conte's future after the loss on Friday.
"He and his staff, together with the players and all the other members of the club are doing a great job," he told Sky Sport Italia .
"Now the players and the staff will rest, because they deserve it, and then we will plan for the future.
"We want to improve next season. The balance of this season is very positive. We are on a path that has allowed us to get to the final.
"All of us, on and off the pitch, are doing a great job and are heading in the right direction. Winning or losing is part of football, but getting to the final makes us optimistic for the future."