The Manchester derby has been rearranged for Thursday, April 27, the Premier League has confirmed.
Consequently, City's league trip to Middlesbrough has been put back a day to Sunday, April 30. City still have another game against West Brom to rearrange due to their progress to the FA Cup semi-finals. A new date for that match will be confirmed next month.
Manchester United will be playing nine matches during the month because of their involvement in the Europa League.
Four other outstanding fixtures have also been rearranged.
Chelsea v Southampton will now take place on Tuesday, April 25 with Arsenal v Leicester, Middlesbrough v Sunderland and Crystal Palace v Tottenham all fixed for April 26.
Meanwhile, Manchester United have confirmed they will tour the United States this summer.
The Premier League club will play in five cities across the country including Los Angeles, Salt Lake City, Santa Clara and Washington DC.
No details of dates or opponents have yet been confirmed but it is expected that some of the games will be part of the American leg of the International Champions Cup.
Previous reports have suggested Manchester City, Tottenham, Real Madrid, Barcelona and Juventus could also be involved in that tournament.
United could face City after their planned fixture in Beijing during pre-season last year was called off following torrential rain.
Outside of the ICC games, United could make up the rest of their two-week tour schedule with fixtures against Major League Soccer or other teams.
Further details are expected in the coming days but United's commitments may raise eyebrows given manager Jose Mourinho's recent complaints about fixture congestion.
Mourinho recently claimed United must have "lots of enemies" because of the intensity of the schedule they have been burdened with as a result of prolonged progress in the EFL Cup and Europa League.
Former United captain Roy Keane claimed Mourinho was talking "garbage" and "utter nonsense" and suggested the club should also not embark on long pre-season tours.
It is not the first time that point has been raised. Mourinho's predecessor Louis van Gaal was critical of the club's summer schedule in 2014, when they also visited the US. As a result, United's tour the following summer was shorter.
Of the latest plans, chairman Ed Woodward said: "Visiting North America will give the team the best possible preparation for the new season, using top-class training facilities and playing in some great stadiums.
"We have witnessed first-hand the passion and support for the club in the US in recent years, so naturally it is something that everybody is very much looking forward to this summer."