The fixture, originally scheduled for Saturday 17 December, is the Hibees' first game after the World Cup mid-season break.
Lee Johnson's men will now travel to Ibrox Stadium two days earlier, with the game to be shown live on Sky Sports.
Kick-off is 8pm in Glasgow, with more details to be confirmed in due course.
Our fixture with Celtic on Wednesday 28 December has also been chosen for broadcast.
