Chelsea will clinch the Premier League if they win at the Hawthorns, as they are just one win away from the title in Conte's first season with the Blues.
From the opening moments when Guzan turned Alonso's shot on to the bar, Chelsea were rampant, nerveless and played with the swagger, poise and menace of the best team in the Premier League.
Chelsea can now wrap up a second title in the space of three years by beating West Bromwich Albion on Friday, and Conte is eager to wrap it up as soon as possible.
Defeat confirmed Middlesbrough's relegation back to the Championship, and caretaker manager Steve Agnew stressed the need to reflect and rebuild.
Also David Luiz was looking uncertain going into the game against Middlesbrough, but has now seemed to make a full recovery.
Conte believes Chelsea overcame their greatest challenge when defeat at Jose Mourinho's Manchester United last month cut their lead to four points over Tottenham, who the Blues then beat in the FA Cup semi-final.More news: Governor sentenced to prison for blaspheming Islam
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And Courtois says it would send a message to the critics who slammed the team a year ago.
"We haven't had enough wins and that's the key to the whole thing". I am a bit more relaxed. "It's great for me, great for the players and for the club".
West Brom boss Tony Pulis has vowed his team will look to keep the title race alive when they host champions-elect Chelsea.
"I'm pleased for him, because I saw this season he put himself in this team in every moment, if he played and if he didn't play". You must divide the fault of this, for this reason we started this season to solve problems and to find the right solution to change the situation that was created in the last season. It won't be easy, but now we have three chances to exploit to become champions.
Just one year after winning promotion, Middlesbrough will return to the second-tier having paid the price for a lacklustre campaign which has so far featured only five wins from 36 league games.
"It would be nice if we got a result to go around the pitch and appreciate our own supporters after that game, " added defender Gareth McAuley.