Mauricio Pochettino’s side were under pressure after Leicester City secured a late 1-0 win against Norwich City at King Power Stadium on Saturday.
If Spurs do end up as champions, then this was huge win for them
The north Londoners made an unconvincing start after Swansea forward Alberto Paloschi handed the visitors an unlikely 19th minute lead at White Hart Lane.
However, Nacer Chadli levelled in the 70th minute before Tottenham defender Danny Rose scored a winner with 13 minutes remaining in north London.
Speaking to BBC Sport on Sunday night, Wright explained why Tottenham’s late win was so significant in the Premier League title race.
“I was in the Match of the Day 2 production office watching both of Sunday’s Premier League games and I saw the way Spurs celebrated their victory,” Wright said.
“On paper you might think beating Swansea 2-1 at home is no big deal but their fans knew how important it was, especially with their team coming back from 1-0 down.
“When you win the title, you look back at the whole season and it is days like this that make the difference. If Spurs do end up as champions, then this was huge win for them because it keeps the pressure on Leicester, and also helps them build the belief they need.”
Spurs are two points behind leaders Leicester.
Pochettino’s side make the trip to London rivals West Ham United in Wednesday night’s derby at Upton Park.
Leicester host Tony Pulis’s West Bromwich Albion side at home on Tuesday night.
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