Even if Tottenham can not overhaul Chelsea in the final four games to win the title for the first time since 1961, it will still be a landmark season for the north London club.
Pedro's brilliant strike and goals from Gary Cahill and Willian secured Chelsea's fourth win in their last five league games, sparking jubilant celebrations from Conte and his players.
Draws for the two Manchester clubs earlier in the day should have given Arsenal added incentive but they were easily beaten and will finish below Spurs for the first time in 22 years. Game by game and step by step to take three points every game.
"We have to have great enthusiasm and great patience because I think we are having a great season but to become a fantastic season we must win (the league)", Conte said. "If we don't win against Middlesbrough (on May 8) then you lose this great win".
"Also for me it is not easy to keep Cesc sometimes on the bench because I think Cesc is a player that in this part of the season is showing to be decisive in every moment if he starts the game - and also Willian".
With 11 minutes left, Hazard's low free-kick was pushed out by Stekelenburg and Cahill tapped in to trigger chants of "Tottenham, we're waiting for you" from Chelsea's jubilant fans. "We must look step by step".
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Victory over their greatest rivals Arsenal to follow a late success at Crystal Palace in midweek means a 10th straight league win in a row would put pressure on Londoners Chelsea. Chelsea now lead second-placed Tottenham by seven points ahead of Sunday's North London derby between Mauricio Pochettino's side and Arsenal at White Hart Lane. After going toe-to-toe with the League leaders for most of the game, once the visitors broke through with a Pedro thunderbolt they fell away.
While the formation switch helped and the resurgence of Diego Costa and Eden Hazard has been vital, it would appear Chelsea's real secret weapon lies elsewhere.
"When they get a little more space they kill the game".
"From where I was I didn't think that it was a penalty and I thought Sane went down very easily".
Luiz, who arrived at Stamford Bridge from Paris Saint-Germain for a second spell last summer for a reported £34million, was forced off the field in the 82nd-minute when attempting to clear a ball.