But if City beat the Cherries, who are on a 16-game unbeaten run ahead of the game, live on Sky Sports, then the Premier League title race goes to the final day.
After the team bus was welcomed in by a raucous support, Arsenal took their time to get going despite a very attacking line-up put out by Mikel Arteta - but their pressure eventually led to a goal.
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After Leandro Trossard struck the post and Martin Odegaard saw a good chance deflected wide, Kai Havertz nodded Bukayo Saka's corner in for Arsenal's 24th goal from a set-piece in the league this season - their 18th from a corner.
With goal difference potentially crucial in the final week of the season, Arsenal pushed for more as Eberechi Eze struck the bar - then saw a goalbound close-range header blocked by Maxime Esteve.
Then came a moment of controversy as Havertz put in a high challenge on Lesley Ugochukwu. Referee Paul Tierney booked the Arsenal striker but VAR James Bell looked at serious foul play and opted to stick with the on-field decision.
"It's a horrible one, it's vicious from Havertz," said Gary Neville on co-commentary.
"I think this is a red. There's no way you're getting the ball, you can only hurt the player there.
"I don't think [the VAR call is] right - he's a lucky boy. I'd get him off the pitch straight away."
Burnley did not threaten the Arsenal goal too much, despite a nervy atmosphere at the Emirates, but who knows what would have happened had the Gunners lost a player.
Instead, Arsenal stand on the brink of the title. Arteta's side are nearly there.
