The Italian coach has been coming under increasing pressure in 2018 so far following a return of two victories in eight games in all competitions.
Chelsea FC suffered a shock 3-0 loss to Bournemouth at Stamford Bridge last week to prompt Conte to criticise the west London side’s signings.
The Blues made a poor start on Monday night following Tiemoue Bakayoko’s sending off after the summer signing produced a substandard 30 minutes.
Watford skipper Troy Deeney broke the deadlock from the penalty spot after Thibaut Courtois brought down Gerard Deulofeu inside the Chelsea FC area.
Eden Hazard appeared to have rescued a point for the visitors with a sumptuous long-range goal but Watford restored their lead minutes later through Daryl Janmaat.
The Hornets polished off three points thanks to goals from Deulofeu and Roberto Pereyra in the final five minutes of the London derby.
Former Liverpool striker Collymore claimed that Conte won’t last much longer at the defending Premier League champions following the 4-1 loss.
Collymore wrote on Twitter: “Bye Antonio.”
Chelsea FC won the Premier League title with two games to spare last term.
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