After Harry Winks had been stretchered off with a worrying injury at half-time, Eric Dier and substitute Heung-Min Son scored in the space of 11 second-half minutes to prevent Burnley from getting the point they needed to equal their highest Premier League haul.
Saturday's opponents Crystal Palace have just recorded three clean sheets on the bounce in winning three straight league games, and although I don't expect them to record a fourth at Stamford Bridge I do believe they'll be confident enough to put in a positive performance against the Blues.
I expect a very tight game at Turf Moor on Saturday.
With Chelsea losing Tottenham have now shrunk their lead to just seven points and have reignited their title challenge. "We showed really good character, and I feel very proud and pleased", he said. "This was massive for us - we heard after the game Chelsea had lost", Pochettino told the BBC.
Victor Wanyama was the first to be forced off shortly after landing awkwardly, then Winks caught Stephen Ward as he cut inside and jarred his left leg on the turf near the Burnley dugout.
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Thankfully for the Spurs fans housed there, Dier displayed plenty of control with a measured finish in the 66th minute. It is always hard in the first game after global duty, all the players arrive at different dates, but we were very professional. They sit 10 points behind Chelsea who are certain to run away with the Premiership. Maybe it was not brilliant but it was very professional. Spurs are a far more talented team and need to win on the road if they want to remain second in the table.
On Winks, Pochettino added: "We are waiting for him and the results".
Eric Dier overcame a so-so first half, which saw some mistakes, to become one of the biggest heroes of the Premier League weekend.
"Each team has different goals". They will, however, face the somewhat unwelcome visit of a talented Spurs side, who proved they could still get the job done without the injured Harry Kane when they beat Southampton prior to the global break.
"It was a really tough game for us, a really hard game to play".