The Blues broke the deadlock 57 minutes into the game as Pedro carved open Tottenham at the back before providing a sweet finish.
He then strike at goal on his left foot from a tight angle, placing the ball between the legs of Lloris.
6 minutes before stoppage time, Trippier rounded it off for the Blues with an own goal.
A ball bounced awkwardly towards the edge of the box, and there was a dispute between Trippier and Lloris as to who should clear the ball.
The defender wanted his keeper to clear his lines, but he failed to come forward. Trippier sidefoots the ball back to goal, but at that point Lloris had committed himself and the two men could only watch the ball cross the line.
Sarri must be smiling with that a victory, what a way to bounce back from the League Cup defeat to Manchester City on penalties.