But Morata's delightful run and finish made the game safe and he sealed his treble from two yards after another brilliant Azpilicueta assist.
"I used to really enjoy watching him go about his business because he was different - he had an edge, and the reaction of other players to him was interesting". "This game is very hard - I remember last season". A really good performnace.
Chelsea remain three points behind Manchester City, but Conte isn't concerned about the flying start made by the leaders and second-placed Manchester United.
Stoke took four points from two home games against Arsenal and Manchester United, but this heavy defeat leaves them with only one win from their opening six fixtures.
But although he was not Conte's No.1 option, Morata is showing he can become the main man at Chelsea after having failed to do so at Juventus and Real Madrid. "Now he has to continue this way to be a great striker", Conte said.
Shaka Hislop and Alexis Nunes discuss how Alvaro Morata will succeed Diego Costa at Chelsea.
Conte told a press conference: "We are working with them [Musonda and Kenedy] from January and I was pleased to see this type of performance from them".
MF Cesc Fabregas, 7 - Came on for Pedro for the final phase of the game and gave Chelsea the added creativity that helped bring about Stoke's capitulation.
"The most important thing and that we won because it's always hard to know how things will go, we must think about the Champions League as well".
"I like him because he's a complete player and also he has a lot of room to improve in every situation, tactical, physical, technical aspect".
But it also means Morata is the undisputed No. 9 at Stamford Bridge and the club's success, or otherwise, will largely be down to how many goals he scores.