It would be the first time in 16 years the Marcelo Bielsa-tutored Leeds will play in the EPL after a dramatic promotion season.
The match holds on September 12 at Anfield.
Chelsea are away to Brighton on the opening weekend.
City and Liverpool are scheduled to meet on the weekends of November 7 at the Etihad and February 6 at Anfield.
Jurgen Klopp’s men do not face traditional rivals Manchester United until 2021 with the Red Devils visiting Anfield on January 16 and Liverpool heading to Old Trafford on May 1.