The City Ground clash looked to be heading for a point apiece when Callum Hudson-Odoi won it for the hosts late on.
The former Chelsea winger came onto a pinpoint Morgan Gibbs-White crossfield ball before breaking into the box and firing past Ederson.
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The Blues did have chances in either half, Nico clipping the post before the break and Mateo Kovacic seeing a half-volley whistle past the post in the closing moments as Pep Guardiola’s men eyed a leveller.
The result means City remain fourth with our Champions League qualification quest continuing next weekend as we host Brighton at the Etihad.
Check out the short highlights above.