The Baggies were not on the beach, unlike the Swans the day before when they were beaten 4-0 by Leicester.
But this was not Spurs at their sparkling best as the continuing demands of trying to hunt down the Foxes finally took its toll.
Even the addition of five minutes added time was not enough to keep up the dream of a first title in since 1961. They could not even muster a half-chance.
Spurs went ahead in the 33rd minute. Christian Eriksen whipped in a free-kick from the right and, under intense pressure from Jan Vertonghen, Dawson tumbled with him and the ball struck his arm, then rolled past Myhill.
It sparked fresh chants of “Leicester City, we’re coming for you,” from the home fans. It won’t be sung again now.
Myhill had denied Kane in the eighth minute after a great interchange with Dele Alli, who looks set to be in trouble with the FA for punching Claudio Yacob in the stomach, a stupid act not spotted by officials.
Kane tried to curl to Myhill’s right, but the keeper stretched out his arm to tip onto a post.