Albion, who are ninth in the Premier League, are set to host Antonio Conte's team but Tottenham’s plan to manage a busy period of games have been hindered by an outbreak.
A number of first-team players and two members of the coaching staff have tested positive ahead of further PCR tests on Tuesday.
With a must-win Europa Conference League game against Rennes on Thursday and then Premier League games at Brighton and Leicester, Spurs’ preparations look set to be severely impacted.
They saw matches against Aston Villa and Fulham called off last season due to Covid-19, while two players posted false positive results on a lateral flow test earlier this term, but were later cleared to play by a negative PCR test.
Boss Conte will be hoping something similar happens again and that there are no more positive tests ahead of a crunch period.
Calling the Rennes game off appears highly unlikely as, according to UEFA rules, a team needs to have fewer than 13 available players or no registered goalkeeper available for that to be the case.
If the situation does worsen, the club could consider asking the Premier League to call off the Brighton game on Sunday.
The league works on a case-by-case basis and if a club does request a game to be postponed, it would be a Premier League board decision.
Spurs are not commenting, while a spokesperson from Brighton said there has been no suggestion of a postponement at this stage.