Regardless of United's results, City will be crowned champions by beating Swansea next Sunday.
Guardiola has won titles with Barcelona and Bayern Munich, while also conquering the Champions League during his Camp Nou reign.
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. Physicality, weather conditions, the amount of games.
After being beaten by archrival Manchester United a week earlier from two goals up when victory would have clinched the championship, then being knocked out of Europe by Liverpool, some suggested that City were beginning to flag. "The Premier League is so, so tough", Guardiola said.
"People said it was a big failure last week". His improvement in that regard is the key reason why the ex-Liverpool man is enjoying his most prolific ever season - he has found the net 22 times in all competitions - and Sterling will have been delighted to add another goal to his tally after some costly misses against United last time out.
"There's nothing better. Long may it continue and hopefully, every single Cityzen around the world parties for us tonight".
But they wasted no time in shutting up their critics and were 2-0 up by just the 25th minute as they cruised to a 3-1 win which ended Spurs' record of 14 games unbeaten. They don't understand anything.
The Spurs are in fourth place with 67 points and remain on course for a berth in the Champions League with five games remaining in the season. The league is nine months. After some more standout build-up play, the visitors came up short again when Silva's cut-back saw Sterling's shot blocked on its way to goal. "We did it.we nearly did it!"
In previous home victories over Liverpool and Manchester United this season, Tottenham started quickly and asserted their dominance in the opening exchanges.
Vincent Kompany's long pass caught Tottenham defender Davinson Sanchez flat-footed and Jesus made him pay as he raced clear to fire past Lloris.
In the end the game was never beyond City as Guardiola's men returned to winning ways with a commanding display both in possession and on the break, leaving the Sky Blues within touching distance of Premier League glory.
While it was a clear foul, the contact appeared to be made just outside the area, yet, to Tottenham's fury, Jonathan Moss awarded a penalty that Gundogan slotted home easily.
In front of more than 80,000 fans at Wembley Stadium, City signaled its intent when Leroy Sane hit the post inside three minutes. He struck from close range after Gabriel Jesus' shot was parried.