The Blues have the chance to claim their second league title in three seasons when they face West Brom on Friday.
"We are very close".
"We can't just roll over and let them get the result they need to win the league".
Conte is as demonstrative and emotional on the pitch as he is measured and softly spoken off it, though he did admit that in this match he felt "a little bit more relaxed". "We need to make sure Boro bounce back very quickly", said Agnew.
"The target is very close and we must have enthusiasm, will, desire to take this target".
The home side were buoyant from the off, with goals from Diego Costa (23′), Marco Alonso (34′) and Nemanja Matic (65′) proving more than enough to consign Steve Agnew's waning side to their fate.
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And Conte has been thrilled with how Fabregas has contributed to Chelsea's cause this season despite not being a first choice in midfield.
"Cesc is one of the best examples of our season", Conte said. We have the opportunity to win the title on Friday but West Brom away is always hard to play, they are a good team with a good manager so we expect a hard game, but I am sure we will be ready for this. And now he's playing in every game. I think this development of Cesc is our development. Last season was very bad and this season, don't forget, we started with a lot of problems.
"Cesc is showing (himself) to be a fantastic player and I'm pleased for him".
And defeat for Middlesbrough saw their place in the Championship confirmed for next season after a disastrous top-flight campaign, a term which has seen them win just five times in 36 games, and sit seven points adrift of safety. "Now he's deserving this". Their historical winning streak and long undefeated stretches gave them such a commanding lead at the top of the table that they are champions-elect.
The Italian also explained why he applauded the travelling Boro fans after the final whistle. "A big win", Conte said.
It's not easy what has happened to me.
The 30-year-old admitted that it's been a very hard season for him, but thinks that his contribution for the team is still very valuable.