Chelsea need three points from the remaining three games this season to win the Premier League for the fifth time.
Chelsea next face West Brom and a win will secure them the league.
Cesc Fabregas shone at the heart of Chelsea's midfield in the absence of injured Footballer of the Year N'Golo Kante, directly creating the first and third goals for Costa and Matic with floated passes, and Conte had words of praise for his Spanish playmaker afterwards. Nemanja Matic then produced a second-half strike to rule out any remote chance of a shock comeback to preserve Boro's Premier League status for at least another weekend.
Chelsea manager Antonio Conte has told his players to take one more "step" ahead of the English Premier League clash against West Browmich Albion on Friday night. Over the years we've had good games against them and we've had a few good results at The Hawthorns, so we'll be turning up confident and trying to win the game.
This poor run consists of six defeats where they've failed to score in each, but the sole victory did come at home against Arsenal. "We're in a great position now and if we were to throw it away we'd be devastated".
Fabregas became the first player in the history of the Premiership who had 10 or more assists in 6 different seasons.
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Another championship could follow at West Brom on Friday. And then through hard work, he improved a lot.
"We mustn't forget we have to take three points in these three games and tomorrow we have the first opportunity to take three points". Tomorrow's game is the most important one for us.
When pressed on the Inter rumours, he added: "I repeat what I said before, I have a contract, two years with Chelsea, but also I like to repeat for me and my players it is important to be focused in the moment, the moment is very important".
"The fans didn't stop singing, wherever we've been this season they've been the same".
If Chelsea drops points at West Brom, Tottenham - seven points behind in second place - will need to win its final game at White Hart Lane after 118 years to keep alive the title race. I feel the quality of my minutes has been fantastic, my contribution is perhaps bigger than a full season where I play every game.