However, Chelsea can extend their lead to seven points if they beat struggling Middlesbrough at home on Monday and clinch the title if they defeat West Brom away next Friday. "Today was a key moment, we had to show that when you do not play well but when you must win, you win".
"I have listened about that [pressure] for many, many weeks".
On a rare foray forward West Ham's Aaron Cresswell crossed from the right and with Tottenham's defence dithering, the ball squirmed to Lanzini who smashed past Hugo Lloris.
Chelsea need two wins from their final four games to be crowned champions.
"The way we played football was so excellent (this season), that's why it's even more frustrating today because I didn't recognize Tottenham. Mousa can bring things to the team like another player but I don't think this was about playing one player and not another".
Dele Alli's follow-up was blocked back to Kane on the edge of the area and the Tottenham striker looked certain to score, yet once again he was denied as Adrian's out-stretched leg deflected it over. "We were missing a little bit, Pochettino said".
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"At the moment it is so disappointing and so hard to say it has been a very good season".
Few people in either camp would have foreseen any other outcome, either, with West Ham limping towards the finishing line of what has been a torrid season.
Pochettino, who watched his side go down to a second-half goal from Adam Lanzini, told the club's website: "It was a game we must win to try to reduce the gap and we weren't capable of winning". Friday night, underthe lights, against them, it was a big game for us and them.
Spurs are in second place in the Premier League and their chances of overhauling Chelsea and finishing top took a serious blow with defeat to West Ham on Friday evening.
Last season, Spurs had travelled to Upton Park needing a victory to take them above Leicester in the final weeks of the season but found a Hammers team which raised their game for the occasion - and it was an nearly a carbon copy of those proceedings a year later. Tottenham is still set for a second consecutive season in the Champions League for the first time.