Spurs are awaiting the results of PCR testing to determine the breadth of the problem, which might include up to six Tottenham first-team players and two members of the backroom staff.
The 10-day period of self-isolation for anyone who tests positive means Spurs’ players hit by the outbreak are set to miss their next three games.
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After facing Rennes, Antonio Conte’s side return to Premier League action with a trip to Brighton on Sunday, before they travel to Leicester City next Thursday and host Liverpool on December 19, live on Sky Sports.
Tottenham declined to comment when contacted by Sky Sports News.
UEFA’s guidelines state a match is only in jeopardy if a team have fewer than 13 players available, or no registered goalkeeper.
In the Premier League, the 2021-22 handbook states permission will not be granted to postpone a league match if a club has 14 or more players on its squad list available.