Erling Haaland struck twice in the second half to take his tally for the season to 38.
Victory took City two points clear of Arsenal at the top of the table heading into the final day of the season.
Pep Guardiola's men host West Ham at the Etihad on Sunday, while Arsenal entertain Everton.
"Unbelievable for us, giving us the chance to fight in one last game. Still one more game, but the effort we did today was incredible," Rodri told Sky Sports.
"We know it wasn't our best peformance but we came here to win and that's what we do."
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