Antonio Conte received vocal backing from Chelsea supporters during the 3-0 victory over West Bromwich Albion that eased pressure building on the manager after back-to-back Premier League losses.
Eden Hazard scored twice, either side of a Victor Moses goal, as Chelsea returned to fourth place and West Brom remained stranded at the bottom, seven points from safety.
"We showed a response and we did well in front of our fans," Hazard said.
"... but now we are back. We are Chelsea. We are the champions. We need to give everything."
Securing Champions League qualification is now the priority for the Blues, who trail leaders Manchester City by 19 points.
Chants of "Antonio, Antonio" rang around Stamford Bridge, reflecting a desire from sections of the fan base for Chelsea owner Roman Abramovich to resist dismissing Conte.
"We are getting used to the speculation," the Italian said.
"I think until the end we continue to live with this speculation. For me it is not important."
Six of Chelsea's past 10 league goals have been provided by Hazard and it was the Belgian that unpicked West Brom for the opener in the 25th minute, with an assist from Olivier Giroud on his full debut.
"We must be pleased for Giroud's performance. He needs to improve, to go into our idea of football, but to have a point of reference like Olivier is very important," Conte said.
On-loan Liverpool striker Daniel Sturridge limped off with a hamstring injury inside four minutes to all but end West Brom's attacking threat.
"He was distraught. The way he's worked at our place has been of the highest order. He's absolutely devastated because he wants this period to be a success," manager Alan Pardew said.
"(It could be) a strain which will probably keep him out of the FA Cup game but fingers crossed in a couple of weeks he'll be OK."
Moses provided the second goal on 63rd minutes when he linked up with Cesc Fabregas.
Alvaro Morata came off the bench for his first appearance in almost a month to set up Hazard's sealer in the 71st minute.
West Brom are to heading to Spain for some warm-weather training but a sterner test awaits Chelsea next week, when Barcelona visit London in the Champions League.
Before then Conte's men face Championship side Hull City in the FA Cup fifth round on Friday.