Right, that is all from me. Plenty of Chelsea reaction to come so head on over to our main football live page to get it all.
Former Man City defender, Final Score
"This performance almost justifies Abramovich sacking Jose Mourinho..."
All over and life after Jose Mourinho begins with a win for Chelsea.
Three minutes of added time but, barring a crazy collapse, Chelsea are firmly on course for a first league win in three games.
Fine save by Thibaut Courtois!
The Chelsea keeper stretches out a hand to deny Jermain Defoe's drive and ensure the Blues avoid a nervy final few minutes.
Some players have been booed by Chelsea fans today, but not Oscar. He goes off to universal applause as Ramires enters the fray for the closing stages.
Final change for Sunderland as Danny Graham replaces Duncan Watmore moments before Loic Remy draws a fine save out of Costel Pantilimon.
Feels like there is another goal in this game as we head into the final 10 minutes.
BBC Sport chief football writer
One strong final message of the day from Chelsea's fans as Cesc Fabregas and Diego Costa are substituted in quick succession.
The reception is decidedly mixed with loud jeers - and there are noisy chants for Jose Mourinho as Costa walks slowly off.
That's Diego Costa's last action of the game as he is replaced by Loic Remy for the closing stages. Once again, the departure of a Chelsea player is met with a mixed response from the crowd.
Better from Chelsea as Branislav Ivanovic drives the ball across the box from the right, but Oscar fluffs up his finish, before a defender takes the ball from the feet of Diego Costa just as he is about to shoot.
Chelsea coach Steve Holland makes his first change of the game as Cesc Fabregas is replaced by Mikel.
A mixture of boos and applause as Fabregas goes off. Plenty of repair work to be done between the Chelsea fans and players.
After such a dominant first-half display, Chelsea are looking a little bit more like the side that has struggled this season at the moment, and they are fortunate not to see their lead reduced to just one goal.
This time, Duncan Watmore heads a ball down for Jermain Defoe but he powers an effort into the side netting. That would have made things interesting.
Today is a very good day for Jose Mourinho's ego, because his name is not being chanted at just Stamford Bridge.
Manchester United are 2-0 down at home to Norwich and it seems the Red Devils' fans are making their feelings known about Louis van Gaal and who they want to replace him...
Fabio Borini has only been on the pitch for 11 minutes but he has had a big impact on this game already.
Moments after pulling a goal back, he strokes a shot just wide of the far post.
A swift response from Sunderland as half-time substitute Fabio Borini bundles in from close range after a free-kick was headed into the middle of the box by Younes Kaboul.
Simple stuff from Oscar as he rolls the ball into the net from the penalty spot.
Chelsea's third isn't enough to prompt the home fans to cheer their team, though, as once again Jose Mourinho's name rings out around the stadium.
Dream start to the second half as Chelsea break and Willian is nudged over by Costel Pantilimon inside the box as he chases a Pedro ball. Pantilimon goes in the referee's book and Chelsea have the chance for a third from the spot...
Applause greets the Chelsea players as they emerge back on the pitch for the second half.
Sam Allardyce rubs his face as Sunderland get things back under way.
Another change for Sunderland before the second half, Fabio Borini on for Ola Toivonen.
A defiant show of unity from the Chelsea players? Or am I reading too much into celebrations after a goal? They have certainly looked a completely different side to the one that has limped to defeats in recent games.
BBC Sport chief football writer
While Chelsea's fans continue to vent their feelings about Jose Mourinho, it is all very easy for the players he left behind.
It really couldn't be more comfortable and the man taking charge for this game, Steve Holland, has been able to sit in his seat watching Chelsea dominate a very poor Sunderland side.
BBC football commentator at Stamford Bridge
"It has been a very good Chelsea performance but the big question is why has it taken the sacking of Jose Mourinho to produce this?"
Costel Pantilimon paws away a Pedro cross to deny the lurking Diego Costa the chance to head home. Sunderland then break quickly and win a free-kick 30 yards from goal. Patrick van Aanholt takes it, but smashes the ball straight at the wall.
Diego Costa goes close again! This time he heads wide at the end of a lovely team move involving Willian, Oscar and Pedro. Lovely football from Chelsea at times in this half.
Diego Costa looks a different player, full of energy and a dangerous presence in the Sunderland box.
He is inches away from adding a third as Willian and Oscar exchange passes to unlock the Sunderland defence, before the latter's ball across the face of goal is driven over by Costa.
This Sunderland heatmap tells you all you need to know about just how much pressure the Black Cats are under. They've barely been out of their own half but a chance comes out of nothing as a fine ball is played long for Duncan Watmore, who gets between the Chelsea defence but lashes a shot over the bar. Best chance they've had.
A rare Sunderland attack as Yann M'Vila whips in a cross, but Diego Costa and John Terry combine to snuff it out.
The change does nothing to ease the wave of Chelsea attacks.
This time, the Sunderland defence stands still to allow Oscar the chance to weave his way into the area. He looks certain to grab Chelsea's third but Costel Pantilimon is quick off his line to close down the gap and deny the midfielder.
Carl in Reading: The only "palpable" thing today is the support for Jose and discontent for players... Costa, Oscar and Fabregas all booed by crowd here at the Bridge.
Lisa: Players at the bridge getting stick and rightly so after selling out Jose and the fans
Tweet using #bbcfootball, or text on 81111 (UK only and please include a name).
Here comes the change and it is a tactical one as defender Sebastian Coates goes off, with midfielder Adam Johnson on in his place. A flat back four and four in midfield for Sunderland now.
The Sunderland players just cannot get the ball off Chelsea at the moment as Cesc Fabregas bamboozles the Black Cats' defence with a clever ball that just has too much power for Diego Costa to chase.
It seems only a matter of time before a Chelsea third goal and Sam Allardyce is already planning a substitution.
BBC Sport chief football writer at Stamford Bridge
Chelsea score again and it is greeted with even louder cheers for Jose Mourinho - followed by an industrial chant aimed at the players asking, in colourful terms, where they were when this team was not so good.
This is an astonishing show of support for Mourinho - and owner Roman Abramovich is having to listen to every word.
Former Man City defender, Final Score
"Chelsea look a different side. They are playing with a fast tempo. Oscar just tried an audacious cross, something we were not seeing under Mourinho.
"Looking at this, it's clear the players just weren't playing for Jose. They were unprofessional."
This is the Chelsea of old. Slick, confident passing, dominating possession.
Sunderland are hanging on as Diego Costa goes down in the box when he tries to chest down a cross. Penalty? Nothing given.