Chiefs CEO Mike Collins said shifting the kick-off gave the match the best chance of being played in Hamilton.
"Providing the travel pause lifts on Friday, the Rebels will be able to fly to New Zealand on Saturday, but it would be unfair to ask them to travel and play on the same day.
"The logical decision was that we push kick-off out 24 hours in the interests of fairness and player welfare and give our team the best opportunity to play at home in front of our loyal members, stakeholders and fans."
New Zealand Rugby (NZR), Rugby Australia (RA) and Sanzar are working with the Chiefs and Rebels on a contingency plan to play the match in Sydney should the travel pause be extended past Friday, June 4.
NZR's general manager professional rugby and high-performance Chris Lendrum said:
"We remain hopeful we'll be playing Sky Super Rugby Transtasman in Hamilton this weekend, but we have learned throughout the Covid-19 pandemic that nothing is certain, and situations can change rapidly.
"As always, we'll take our lead from the Government and health authorities and base our decisions around the health and safety of our fans and our teams."