Though the west London club have spent nearly £130m bringing in Tiemoue Bakayoko, Antonio Rudiger and Alvaro Morata, their arrivals have coincided with the departure of some 17 players, including Nemanja Matic who joined arch rivals Manchester United in a £40m deal.
"I think he's the type of manager who won't accept the involvement from people above", he was quoted as saying in The Sun. It's a bit like Real Madrid where they don't value the manager like other clubs do.
However, the Blues boss knows he needs to further strengthen if Chelsea are going to compete on all fronts this season and the Evening Standard claims director Marina Granovskaia has stepped-up the clubs pursuit of new players with Conte wanting up to four more new arrivals before the end of the month.
Conte cut a frustrated figure as his side suffered defeat to London rivals Arsenal in Sunday's Community Shield game at Wembley Stadium - their second straight loss to the Gunners following their FA Cup final defeat last season. If you're a manager why would you want to let him go - especially to a rival?
"They've had a lot of distractions and I think they could have moved on from all of this if they signed an adequate replacement".
GETTY Frank Lampard believes Matic was the one who pushed through a move to Man Utd
He wants more players coming in.
Carragher also touched upon the decision to sell Nemanja Matic as an example of the difference between Conte and the board.
Speaking on The Debate on Sky Sports on Monday Night, Carragher said: "The Matic deal is a ideal example". The 19-year-old defender, who is contracted to United until 2020, is regarded as an exciting prospect and can operate at full-back, centre-half or even midfield.
"The success they've had in changing manager means they're not going to take anything like that off Conte. I would be very surprised if he's here in 12 months".
But, wherever Chelsea fans look on Tuesday morning, the story doing the rounds is that Antonio Conte is ready to quit the Blues.