Premier League leaders City cannot wrap up title glory at Wembley Stadium on Saturday evening, but they can move back to within touching distance of the crown.
It was a morale-boosting win for City after the disappointment of Tuesday's defeat to Liverpool in the Champions League quarterfinals.
Manchester United (-475) had some starters nicked-up during the recent global break, but it has won its last four home matchups, while Swansea City (+1300, draw +500) has generated little offense on the road all season.
"[Against Tottenham] we had to be a little bit stronger mentally especially because it was off the back of an amount of bad events so I'm really happy with the result and the response".
Much had been made of Sterling's profligacy before the game, although the winger finally netted to put City in the driving seat after 72 minutes, the England global smashing home from close range after Lloris had originally saved a shot from Jesus.
"We only started to compete after 2-0 down, we scored, but of course over 90 minutes Manchester City were better".
"The important thing is to have the chance to win at home".
I will have to watch it again on TV, but the referee can make a mistake like the first half where we made a mistake, so I am not going to complain.
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It would take an almighty collapse for Spurs to finish outside the top-four at this stage, but Chelsea will be hoping that their opponents tomorrow, namely Manchester City, will be do them a huge favour by taking all three-points away from Wembley.
"I said after 10-15 minutes we will be champions", said Guardiola of his side's fast start.
Replays suggested the initial contact between Lloris and City's impressive attacker was just outside the penalty area, but the Tottenham manager refused to use it as an excuse after the 3-1 loss.
Against the run of play, Christian Eriksen halved the deficit.
Luis Suarez gave Barca the lead after a quarter-hour by meeting a delicious outside-of-the-foot pass from former Liverpool teammate Philippe Coutinho, scoring with one touch from close range.
Captain Dani Parejo pulled a goal back for third-placed Valencia by squeezing an 87th-minute penalty under Barca goalkeeper Marc-Andre ter Stegen, but the Catalans withstood an exciting final spell to move to within seven points of their 25th league title.
Mauricio Pochettino's side stays fourth, six points clear of Chelsea in fifth. Sterling effort went wide in the 7th minute of the game as Manchester City add more pressure to the home team.
"It's more hard (to win in England)".