Officials did not reveal whether the 125-pound contest would headline the event, which takes place at a site to be determined.
The two met earlier this month at UFC on FX 2 in the first flyweight bout in company history. After a closely contested three rounds, it was originally announced a split decision victory for Johnson.
After the event, however, the Combat Sports Authority of New South Wales uncovered an error in the tabulation of the judges' scorecards. The actual scoring of the fight resulted in a majority draw.
Had the mistake been caught in time, Johnson (14-2-1) and McCall (11-2-1) would have fought a deciding fourth round. Instead, UFC president Dana White announced plans for an immediate rematch during the post-fight press conference.
The eventual winner of the June meeting will move on to face fellow contender Joseph Benavidez (16-2) for the UFC flyweight title.