Pochettino’s side travel to Chelsea on Monday, by which time Leicester could already have been crowned champions.
Striker Harry Kane said: “We have Chelsea next. Hopefully Manchester United can do us a favour.
“It has not gone. We need to keep fighting. All we can do is keep fighting.”
Craig Dawson’s own goal gave Tottenham the lead against West Brom during a first half that they dominated. But the defender made amends with a second-half header to earn the much-improved Baggies a point.
Pochettino added: “We were unlucky in the first half and created a lot of chances but this always happens in football.
“We allowed them to believe and we conceded a goal, but I am very proud because it was a big effort.
“We felt comfortable on the pitch and created chances, but we lost control of the game and allowed them to create chances. But I think we deserved the three points.
“We understand it was a game we must win. I must now lift the players for the game against Chelsea.”