Chelsea have now lost five consecutive league matches without scoring for the first time since 1912 as things go from bad to worse for manager Liam Rosenior.
Rosenior's outfit have collected just five points from their last nine fixtures; only relegation candidates Tottenham Hotspur, with two, have fared worse during that period.
Speaking to ESPN FC after the game, Leboeuf ripped into the club’s lack of leadership which he thinks is leading to results such as the Brighton loss that has seriously hurt their chances of securing Champions League football.
"We have been players, and we can see, my former teammate and compatriot Marcel Desailly two days ago said what we keep on saying what we have been saying. We do not have leaders in that team. We need a goalkeeper as a leader, we need a centre-half, we need a midfielder.
"Caicedo and Enzo Fernandez are not leaders. I’m sorry, I’ve seen leaders. I’ve played with Dennis Wise, I’ve played with Craig Burley, I’ve played with Roberto Di Matteo in the middle of the park. They were leaders.
“I don’t even talk about defenders like Marcel Desailly, Steve Clarke and up front with Vialli, Gullit, Zola, those players who were successful at my time and I don’t even talk about after what we saw (under Roman Abramovich). But now enough is enough those players don’t deserve to play for Chelsea right now. They’re not good enough."
Tuesday's defeat leaves Rosenior's team seventh in the division on 48 points, seven behind Liverpool in fifth who look like they will easily secure Champions League football for next season.