The coach has warned his players to show more "hunger" following their disappointing form in pre-season being continued with a defeat to La Galaxy
The Old Lady's pre-season preparations have suffered consecutive set-backs after they were defeated in a penalty shoot-out to Everton prior to their 3-1 loss to LA Galaxy on Saturday.
Conte acknowledged there were positive aspects to each of his side's defeats but warned his players to show a greater desire when they next take to the field in a competitive fixture.
"We need to have more hunger, [Gianluigi] Buffon definitely made an important statement in regards to the risks of contentment [in pre-season]," he told reporters.
"Today we certainly were not hungry enough, just look at the goals it took for us to understand that we must improve our attitude and concentration.
"We should not feel good because other people are telling us we are good, but rather to prove it on the field.
"Taking the glass half-full, it is a positive that this blow came today. I repeat, look at the positive aspect of this poor performance, which will surely be a wake-up call for everyone.
"We do have good players if they combine their quality with maximum commitment. In these two years we have done extraordinary things because we went beyond our limits.
"Galaxy definitely made me a very good impression. They're a good team, well-organised."