The majority of the Spurs hierarchy feel Conte's position is untenable following Saturday's post-match outburst.
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He was already very unpopular with a number of senior players and has now completely lost the dressing room.
The Italian has been heavily linked with a Spurs exit, especially after his explosive press conference at the weekend.
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Spurs threw away a 3-1 lead against Saints, who clawed the game back to 3-3, leading to a stunning post-match interview in which Conte launched a sensational attack on his players, saying they are 'selfish' and don't 'want to play under pressure'.
Conte also appeared to criticise the club's ownership as he questioned the success it's experienced under the current regime.
With Conte flying back to Italy on Monday, the writing is on the wall regarding his future at the club.
The 53-year-old is out of contract this summer with suggestions that he is increasingly likely to leave the club then, however, it now seems that his departure could come much sooner.
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This is despite the fact that Spurs currently sit fourth in the Premier League table with ten games to go this term, with their next fixture being against Everton on April 3.
Despite his contract ticking down, sacking Conte now would still cost significant compensation.
Chairman Daniel Levy is weighing up the viable options to replace him, with Champions League qualification still a target.
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Ryan Mason would be considered to take over on an interim basis, while Mauricio Pochettino remains keen to return on a permanent basis.