Willian's opener had been cancelled out by a Jonathan Walters penalty in the first half, but Gary Cahill's late victor put his side within seven victories of being crowned champions of England for a sixth time. Pieters had also conceded the corner with a misplaced backpass.
Even without the injured Eden Hazard, Antonio Conte's men, who have lost just one game in 2017, triumphed again when Cahill struck three minutes from time to make amends for giving away a first-half penalty. There didn't appear to be a shooting opportunity on for Willian, but he found Lee Grant's bottom corner with a low-drilled effort.
Eden Hazard has been in fantastic form this season of the Premier League and it is nowhere more evident than Antonio Conte's comments regarding the player. Despite not scoring he was left with the last laugh, like on most occasions this season.
And Stoke benefited from a contentious call three minutes later having been given a penalty as Walters went to ground having been nudged there by Cahill.
There was more than an element of fortune in Chelsea's winning goal on 87 minutes, too late for a tiring Stoke to conjure one final twist.
38' - GOAL! Stoke 1-1 Chelsea (Walters pen).
Two headers by Craig Dawson and a Hal Robson-Kanu strike lifted West Bromwich Albion to a 3-1 win over Arsenal and piled more misery on their manager Arsene Wenger after a pulsating Premier League clash. The manager insists that Hazard can deal with the physicality of the Premier League.
Pedro blazed over a good chance to restore the visitors' lead before Bardsley clattered into Costa to be booked in the final stages of a tempestuous half. Mark Hughes' side managed to earn a point at the Etihad Stadium with a hard-fought draw and will hope to put a minor dent in Chelsea's title charge at the Bet365 Stadium on Saturday.
This was only the second Premier League game of the season where hazard didn't start for Chelsea.
However, the assistant's flag went up - possibly for offside against Saido Berahino, who could also have been punished for a push on Pedro.