Bologna were worthy 2-0 winners against the title holders thanks to goals from Jhon Lucumi and Thijs Dallinga.
It was Napoli's fifth defeat in all competitions this season and the third game in a row that they have failed to find the back of the net.
In the aftermath, Conte barked: "If you lose five games, it means that something is not going right.
"Something needs to be done, because I don't want to accompany a dead person, I am the first eventually and take responsibility. At the first negative situation we broke up, I will also talk to the club about this aspect.
"I don't see alchemy but everyone thinking about their own problem. Heart transplants aren't possible. Each of us must rediscover the spirit, the heart, the wickedness. Things are done but we have to see how they are done.
"It's one thing to do your homework, it's another to play in a team with very high expectations. Everyone is thinking about their own backyard, I had already seen this and so I want to speak well with the club."
Living in the past
"We must not forget that after the third Scudetto, Napoli finished tenth but I don't think this was a great lesson. Sometimes we think that overnight the ugly duckling then becomes a swan.
"Last year we did something extraordinary and of absolute value, now we are continuing to work but we have to ask ourselves how, if there is the right enthusiasm and desire or we are basking in the victory of the past and we think we are favourites.
"We certainly don't have the energy of last season, the boys know very well what I think about it. I'm sorry that I'm not managing to change this trend in the four months that have passed, because it means that I'm not doing a good job or someone doesn't want to hear it."
It's been suggested Conte is set for crisis talks with the board today where his position and commitment to the 'project' will be raised.