The Blues impressed last season as they built towards the Premier League title, but have not been able to replicate that consistency while juggling a return to elite European competition.
Chelsea were beaten 3-0 away to Roma on Tuesday night and face another tricky test on Sunday when they host Manchester United, and former manager Jose Mourinho.
Reports of unrest within the Blues squad over the methods of the Italian coach, who took over in July 2016, have been angrily rebuffed by Conte himself.
In an interview with the BBC, Fabregas was asked if the players were indeed unhappy because they were being asked to train too hard in a regimented fashion.
The midfielder replied: “No, no, not at all.
“The only thing we can say is last year there was no Champions League, and it is a real truth.
“We know, you know and I know that it is tough when you are involved in the Champions League.
“When you have the whole week to train, his (Conte’s) methods and the fitness coach, it is a very Italian mentality – we have to run and be fit and recover well.
“But this year because of the Champions League we are not having that much time because every three days… you cannot play on the Wednesday, play Saturday and then it is Thursday – and what? You are going to run? It is impossible.
“To do recovery, you need to be well back for the weekend, so that is not true at all.”