City's season came to an end on 15 August with a 3-1 defeat by Olympique Lyonnais in the Champions League quarter-finals, while United's season concluded following their Europa League semi-final loss to Sevilla a day later.
The Premier League season is set to begin on 12 September and with teams requiring at least a 30-day break before their first match, City and United will likely play their opening game the following week.
However, Wolverhampton Wanderers, who were knocked out of the Europa League by Sevilla on 11 August - 32 days before the start of the new season -- will be required to play on the opening weekend.
City ended the 2019/20 season in second place, 15 points ahead of third-placed United.
It’s understood the Premier League fixtures will be confirmed in full later this week, three weeks’ ahead of the new campaign getting underway.
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