The Covid-19 outbreak has hit Spurs ahead of the Rennes match.
Up to six Spurs players and two members of the backroom staff are thought to have tested positive for Covid, and Spurs are waiting for the results of the tests to confirm the extent of the problem.
Spurs' players who test positive for the outbreak will be isolated for 10 days and will miss three games.
After facing Rennes, Antonio Conte's side return to the top flight with a trip to BRIGHTON on Sunday, before travelling to LEICESTER on next Thursday and then hosting LIVE on Sky Sports.
Sky Sports News contacted Spurs, but they declined to comment.
If a team has fewer than 13 players available or no registered goalkeeper, a match is in danger.
If a club has more than 14 players on its squad list, it will not be allowed to delay a league match.
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There is a free to watch video of the Spurs win against the Canaries.
If a request is received from a club, the decision on postponing league games would be made by the board.
There were 12 positive tests across two rounds of testing between November 29 and December 5.
There were seven positive tests in the week of November 22-28, which was the highest total for a week this season.
Anyone who tests positive will take a test to confirm their result.