Pep Guardiola’s side will defend the Premier League title if they win at Brighton and Hove Albion on the last day of the season.
Vincent Kompany scored a long-range stunner to down Leicester City 1-0 and put one hand on the Premier League trophy for Manchester City.
Pep Guardiola’s side were frustrated for long periods at the Etihad Stadium on Monday but found a way through thanks to captain Kompany’s sensational strike.
Kasper Schmeichel was given no chance by Kompany’s rocket in the 70th minute, with City moving back above Liverpool, a point ahead in top spot in the Premier League table.
City, now on a run of 13 consecutive league wins, will defend their Premier League title if they collect another three points at Brighton and Hove Albion on Sunday.
Kompany made a superb block to repel Ricardo Pereira as the hosts made an understandably nervy start.
Sergio Aguero scored the winner at Burnley with a goal that only marginally crossed the line but Schmeichel made a great save to claw the striker’s header away after it hit the crossbar.
Brighton are the only obstacle still standing in City’s way, with Chris Hughton’s men welcoming the league leaders on Sunday. In a dead-rubber final fixture, Leicester host Chelsea.