The match comes before the Citizen's Champions League semi-final first leg tie with Real Madrid, and has been moved from Sunday 7 May to Saturday 6 May to help preparations.
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Broadcasting the match would usually infringe on the Saturday 3pm 'blackout rule' also known as Article 48, which was created to protect lower league attendances.
The rule has stood since the 1960s to protect the majority of Football League matches that take place on Saturday afternoons.
But on May 6, there aren't any lower league matches scheduled, opening up a space for the game at the Etihad Stadium to remain on Sky Sports.
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The usual Saturday 12:30pm slot was available, but the league does not want to clash with the King's Coronation taking place at the same time.
A statement from the Premier League read: "With Manchester City visiting Real Madrid in the first leg of the UEFA Champions League semi-finals on Tuesday 9 May, their home match with Leeds United has moved from Sunday 7 May to 15:00 BST on Saturday 6 May.
"The match will remain live on Sky Sports in the UK, subject to further consultation with relevant stakeholders regarding Article 48.
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"The usual Saturday 12:30 BST UK live broadcast slot has been avoided so as not to clash with the King's Coronation.
"A later kick-off is not possible due to police resourcing."