The manager is under fire after a 2-1 home loss to West Ham as fans chanted "you're getting sacked in the morning" after an eighth defeat in 14 games.
But Mr Frank insisted after the match that he still has “the trust of everyone.”
According to Press Association, talks are understood to have taken place at the club, who currently sit 14th in the Premier League, about whether to let Frank take charge for Tuesday's Champions League clash with Borussia Dortmund.
He took Sunday’s training at Hotspur Way as chief executive Vinai Venkatesham and the executive board discussed his future, with no final decision made.
Mr Frank is expected to attend an open training session at around 2.15pm on Monday.
He is then due to face the press at 3.30pm with Xavi Simons as speculation swirls over his future.