Burnley were unable to deal with a corner and when Hendrick sliced his clearance straight to Dier, he made no mistake with a placed finish to score his first Premier League goal in 475 days.
Chelsea lost to Crystal Palace, as Tottenham secured a win, as it looks Chelsea could be beaten to the title with just nine games remaining.
And Pochettino insists his men must keep on believing that they can overhaul Chelsea.
"It's now seven points, it's completely different to 10", he said. We've earned the right to be in good shape and we need to focus and concentrate on the challenge in front of us. "We know there's work to do, it's the nature of the Premier League".
Mauricio Pochettino, however, said there was still a "massive difference" between Chelsea and Tottenham.
Pep Guardiola's team twice squandered the lead in Sunday's 2-2 draw at Arsenal and are without a win in their last three league games.
The deficit could become four after Chelsea face City on Wednesday.
"It's never easy to manage an away game after the global break".
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"We play against a team who is stable in what they do. We need to see the scan and then start his recovery".
The north Londoners are leading the chasing pack again this season and cut Chelsea's lead at the top of the table to seven points on Saturday with a hardfought victory over Burnley.
He added: "Eighty per cent of their players have experienced the pressure".
"The test was mental". Tottenham should again walk away with all three points.
Zlatan Ibrahimovic returns from suspension for Manchester United's clash with Everton at Old Trafford. There are no done deals in the Premier League.
But what it does tell us is that the Foxes are back playing like they did when they became champions of England last season, and in the hope that the worldwide break hasn't disrupted their current wellbeing then they look a solid wager to beat Stoke on Saturday afternoon.
It's possible that by the time Chelsea line up away at Bournemouth next weekend, Spurs, if they can beat Watford at White Hart Lane on Saturday, could be within one point of Chelsea.
"I remember throwing the manager about when we got promoted, and the biggest one when I was here was beating Blackburn, which is a big derby, so there are a lot memories here".
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