Having started the weekend with a 10-point lead at the Premier League's summit, the Blues were on course for a share of the spoils against the Potters once Willian's free-kick was cancelled out by Jonathan Walters' penalty before half-time.
Conte wanted all three points though, even with their huge advantage at the top, and brought on Cesc Fabregas with 20 minutes to go - replacing Victor Moses and altering his 3-4-3 system to a back four so he could accommodate his substitute in a central role.
The move paid dividends three minutes from time when skipper Gary Cahill lashed in a winner in a 2-1 triumph that brought a league championship in Conte's first season ever closer.
"It's not the first time - it happened also against Burnley," Conte said of his tactical tinkering.
"During the game, when you want to take more risks, when you want to try and take three points and not only one, you try to change.
"But, when you change, for sure there is a greater possibility to score the goal but also to concede a goal. You must know this and then sometimes I prefer to decide to risk it to try to take three points.
"In other situations I prefer to keep the result."