He holds nothing back in his new book, Capitaine, and revealed: "At Chelsea it got out of hand most seriously a few years ago. I remember, in particular, one fine victory against Galatasaray in Turkey. The bottles were going round the rows of seats on the way back in the plane.
"This time the British were not the only ones to be lifting their elbows. French, Italians, South Americans, we were all in an incredibly euphoric state. I was more than happy, seriously tipsy.
"But two or three players went too far. Someone started to sing and made of fun of the manager in abusive terms. Vialli remained impassive, but from the next day he imposed an alcohol ban on buses and planes."
Desailly then goes on to praise but then fiercly critisice a Chelsea legend and the man that he replaced as captain at the start of this season, Dennis Wise, "Wise was the favourite son of the fans when I arrived in 1998. He embodied the London spirit in a team with half a dozen nationalities living together.
"His marathon runner'sphysique allowed him to cover miles and miles each Saturday. The fans appreciated his fierce determination and passion for victory. It was different from the inside. You had to be on the pitch, like us, to realise. That was the case of Wise, gradually left aside by the manager.
"He kicked too many people and got too many yellow cards. This attitude was very damaging to him."