It is believed football's world governing body FIFA is holding discussions over moving the kickoff at the Estadio Azteca in Mexico City due to the risk of extreme weather.
The match is currently scheduled to kick off at 6:00pm local time.
Reports in Mexico say the match could be moved to midday local time.
The start of Mexico's last game, a 2-0 victory over Ecuador in the last 32 at the Azteca on Tuesday, was delayed by one hour due to torrential rain.
When asked about the potential change in kick-off time, England forward Marcus Rashford said at training on Friday it would not be "ideal" but that the players would take it in their stride.
"How we prepare for the game, it has to remain the same. We have to be focused, we have to be ready for anything," Rashford said.
"I think it's one of the strengths of the group. Everyone is really good, players and staff," he added.
"We're ready for whatever challenges (are thrown at us. Obviously, it's not ideal, but also it doesn't mean anything."