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The league match at Tannadice remains scheduled for Saturday, January 9, but has been moved from its original 3pm slot.
Sky Sports will broadcast the game, with Rangers saying ticket information will follow in due course.
A Rangers statement said: "Our @spfl fixture away to Dundee United on Saturday, January 9 has been selected for live coverage on Sky Sports, with kick-off now at 5:30pm.
"Ticketing information will be communicated in due course."
The match is one of 10 fixtures listed for live Sky Sports coverage over the coming months.