The Daily Mail says Jol was on the brink on Monday night after it emerged Tottenham have drawn up a three-man shortlist to replace him as manager.
Jol's position appears untenable after Italy's World Cup-winning coach Marcello Lippi and Portsmouth manager Harry Redknapp joined Sevilla's Juande Ramos as potential replacements.
Despite Tottenham's 4-0 Premier League victory over Derby on Saturday, Jol no longer has any allies in the boardroom and sources at White Hart Lane claim the relationship is 'irretrievable'.
Spurs are specifically looking for a manager who can 'outthink and outwit Wenger, Fergie and Mourinho'.
Despite Levy and vice-chairman Paul Kemsley authorising transfers totalling £40million, Jol angered them by claiming that finishing fifth again would represent progress.