The Italian insisted the pair's relationship is professional ahead of Sunday's clash, but was stopped short in his pre-match press conference when asked if he will shake Mourinho's hand after the game.
"It's not important, the relationship between the coaches," said Conte.
"We have to respect the job of the other coach. I don't like to speak about the other situation.
"He is an opponent and I'm an opponent for him. After the game it will be the same."