Arsenal submitted the request to the Premier League on Friday evening, with the decision on whether the match goes ahead to be made on Saturday.
League rules state that matches must be played if a side has at least 14 players available, 13 outfield players and one goalkeeper.
But the request has left Spurs furious, reports MailSport.
The match between Burnley and Leicester City, originally scheduled for Saturday, has already been postponed due to a number of injuries, Covid cases and international call ups preventing Burnley from fulfilling the fixture.
The Premier League released a statement following Arsenal’s request, which read: “The Premier League has received a postponement request from Arsenal FC relating to their away match against Tottenham Hotspur, due to be played at 4.30pm on Sunday 16 January.
“The Premier League board will meet tomorrow to review the application and inform both clubs and their fans of its decision.”
Arsenal boss Mikel Arteta had hinted at the possibility of the match being postponed following Thursday’s Carabao Cup semi-final first leg away to Liverpool.
Bukayo Saka and Cedric Soares were both injured during the goalless draw, while Granit Xhaka picked up a suspension after being sent off.
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Emile Smith-Rowe is also a doubt for Sunday and Martin Odegaard was ruled out of Thursday’s match after returning a positive Covid test.
Another disruption to the Gunners’ squad has been the Africa Cup of Nations, with four players away on international duty this month, including Thomas Partey and Pierre-Emerick Aubameyang.
All these factors have left Arsenal without a total of 12 first team players going into Sunday’s crucial trip to Spurs.
Despite this, Spurs fans have been less than sympathetic towards their north London rivals with one tweeting: “They have absolutely no ground considering it’s one Covid case.”
Another alluded to Arsenal’s response to their match with Liverpool being postponed earlier this month, writing: “Shameless after all the talk and slander about Liverpool only a week ago. Where’s the “play whatever the circumstances” energy now.”
So far this season, 19 Premier League matches have been postponed due to Covid as well as the match between Burnley and Spurs due to heavy snowfall.