The Blues have not won once in Lampard's three games in charge, including a disappointing 1-1 draw at home to Leicester City on Sunday.
And Lampard isn't messing around with his players after some subpar performances.
The Athletic have quoted a source from Derby who claims the 41-year-old will take a hard-line approach with his players this season.
The Derby source told The Athletic: "He [Lampard] would simply refuse to play anyone who trained badly.
"We saw players who would be in the team and playing well but then they had a bad week in training and he would drop them.
"Expect the same at Chelsea. We thought it was because of his own approach as a player, everyone knows how dedicated he was, the fittest man ever, grabbing balls after training to improve."