The Italian head coach was appointed as Jose Mourinho’s permanent successor in 2016 following their tenth-placed finish.
Conte led the west London side to the Premier League title in the 2016-17 campaign after the Blues finished seven points clear of Spurs.
Chelsea FC have struggled in their defence of their top-flight crown and are 25 points adrift of Premier League leaders Manchester City.
The Blues exited the Champions League and the League Cup to limit their chance of winning silverware this term.
Chelsea FC were 2-1 winners against Leicester City after extra time last weekend following goals from Alvaro Morata and Pedro Rodriguez.
Conte has been coming under pressure following four losses in their last six outings in the Premier League.
However, former Spurs forward Crooks believes Conte will buy himself some more time at Stamford Bridge.
“There have been plenty of shenanigans going on at Stamford Bridge this season and they can be traced back to the defeat in last season’s FA Cup final against Arsenal,” Crooks told BBC Sport.
“Chelsea now have a chance to rectify that appalling performance by beating Southampton. It might even save Antonio Conte’s job.”
Chelsea FC have won the Premier League title in two of the past three seasons under Mourinho and then Conte.
The Blues lost 2-1 to Arsenal in the FA Cup final at Wembley last season to miss out on a potential double triumph in 2016-17.
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