It will be the tenth if Blues win in the Olympic Stadium, and nothing if they exit the competition.
After Jose Mourinho complained at what he perceived as uncalled for histrionics by the Italian in Sunday's demolition on Manchester United, Conte admits he wished he could be ice cool on the touchline.
"Sometimes I’d like to be a manager, a coach and stay seated and see the game relaxed," he added. "I’d like sometimes to be this type to stay calm, cool to enjoy also the game.
"But it’s very difficult for me. I want to play. I want to help my players to stay close in every moment also to show them that I’m always with them in the positive or negative moment I stay there to support them. If we win or lose we are always together."
Conte agrees bed and him are strangers after a match, as he frets and fussed over the result one way or the other.
"I am exhausted at the end of every game," he said. "It’s difficult also to sleep. Usually, you’re tired and it’s difficult. If we win probably I have 10 per cent to sleep.
If we lose never have the probability to sleep. I finish the game exhausted."
The Met Police have categorised the debut for Chelsea at Hammers' new ground - a risk game. Note least, because in the cavernous site of the 2012 Olympics, Blues will be cheered on by 5,000 fans.
Conte sees this as a terrific boost to the club's chances of making the next round.
He explained: "My message I always appreciated a lot the behaviour of our fans when we played away.
"In every single moment and I remember when we were losing 2-0 against Leicester after 20 minutes (in the last round) and they pushed us a lot and are always behind us.
"This is very important. I want this and they must think only this to stay behind us and to push us to win, in a positive or negative moment.
"Our fans if they want we can play with 12 players."