The Blues took the lead in the 34th minute thanks to Gary Cahill's opener, but Bruno Martins Indi equalised for the visitors just after half-time.
Stoke were still basking in the glow of the equaliser when Chelsea again went ahead just one minute later, Willian bagging his second of the match with a sumptuous strike into the top-right corner from the right-hand side of the box.
Chelsea are now on a club record 12-match winning streak in the league, and the Spain global continued: "My main aspiration, and not just mine, my teammates' too, is to conquer the title again". "But numbers are not important if you do not win the title".
But Stoke City again fought back.
In-form forward Diego Costa scored the decisive goal inside 16 minutes at Stamford Bridge, heading home Eden Hazard's cross from the left flank - the Spaniard's 14th league goal in just 18 league games.
Leicester moved six points clear of the relegation zone on Saturday after the struggling champions ended a three-game winless streak courtesy of Islam Slimani's header. "We started the season as an underdog and (now) we have the light on Chelsea and we know this". I'm pleased that the opinion is changing.
"He's very confident in what he does and he is transmitting that confidence to us. We've made mistakes and good teams punish you", Hughes told BBC Sport.
"If you keep on shouting and being busy with the game you are always staying in it, and I think that is one of my strong points, focus and concentration during the game".
Cesc Fabregas is the 4th player to assist 100 Premier League goals after Wayne Rooney, Frank Lampard & Ryan Giggs. Their form is sensational, whereas Stoke City have only won 2 of their 9 away games in the league so far.
Three thrilling goals in 12 magical minutes which literally lit up a game that merely smouldered up until then.
Manchester United have closed to within sight of Arsenal and will expect to record a fifth successive victory when 15th-place Middlesbrough visit on New Year's Eve. "We owe a lot to our people (fans) and we are hoping we are going to be able to pay that back".