Terry struggled to make an impression under Antonio Conte following the Italian's appointment as Guus Hiddink's successor last summer.
An improved contract offer is likely, especially as Inter Milan covet the former Juventus and Italy manager.
But the 47-year-old suggested after the title success at The Hawthorns that he wanted to build on the rejuvenation he has led this season.
"We are working [for] only nine months together".
"Now they know my idea, I know them, the characteristics of my players". "And we can improve".
"Maybe it does not have the best players in the world, but it's the most competitive and most hard league to win, for sure". We have the same ambition.
"Of course, these players are giving me a lot of satisfaction - they are giving everything and trying their best".
(Costa picks up the fire extinguisher) Journalist: "No, no, no!" David Luiz had a very good campaign without mistakes'.
Question: Difficult moments with Costa, was it a difficult man management job?
6 midfielder Cesc Fabregas now has an unmatched six seasons with at least 10 Premier League assists.
Chelsea title-winning manager Antonio Conte has acknowledged that the club's 3-0 defeat away at Arsenal was "a key moment" in the season. We've won the title but that doesn't mean that the team can not get better.
Conte: "It's great for me".
Talking to media on Saturday afternoon, Allegri also praised his predecessor for this Premier League victory with Chelsea.
Conte refused to discuss reports of a disagreement with 20-goal Costa in public, attributing the striker's absence from the Premier League trip to Leicester to a back injury.
"I thank them for their commitment and work-rate".
"I'm sure Chelsea will buy players but they already have a great squad", insisted Flo, who scored 50 goals in a three-year playing spell at the Bridge. "It's right now to celebrate". The Spaniard wants a move to China, but feels obligated to serve Antonio Conte.
The team has also reached the final of the FA Cup, where it will play Arsenal at Wembley Stadium on 27 May.
Yet there was nearly a shock for Chelsea when Rondon escaped a challenge from David Luiz and raced clear, only for Cesar Azpilicueta to make a vital, saving challenge.
Luiz: "Rest? Rest for you".
"Mazzarri added: "We have to play as we did (against Everton) at Chelsea".
Recall how Carlo Ancelotti was sacked in his second season because he failed in Europe despite winning the League and FA Cup double in his first season.