A section of Blues supporters made their opinions known to the Portuguese when he last returned to Stamford Bridge.
Having beaten Manchester United 4-0 back in October, Mourinho was then labelled ‘Judas’ by those in the stands during last month’s 1-0 FA Cup defeat.
In response, the ex-Chelsea manager claimed “Judas is still No1” due to his record when in charge in west London.
Jose Mourinho was labelled Judas by Chelsea supporters when Manchester United visited last month
This club has always showed him great respect for his past
Mourinho won the Premier League title three times during his two spells at the helm.
And Italian Conte, who is on course to finish top for the first time with Chelsea, feels his new followers should show appreciation for what Mourinho achieved at the club.
When asked for his reaction to the Judas comments, Conte said: “Nothing, nothing.
“He won a lot with this team and this club has always showed him great respect for his past.
Jose Mourinho fires shots at Chelsea fans during Man Utd clash Mon, March 13, 2017
Click for the best snaps of Jose Mourinho firing shots at the Chelsea fans during Man United's defeat at Stamford Bridge
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Antonio Conte says Jose Mourinho deserves respect from Chelsea
"Nothing has changed. We have great respect for his history at this club."
Conte’s Chelsea sit 18 points clear of United heading into tomorrow’s showdown at Old Trafford (4pm).
But Jose Mourinho is expected to make things difficult for the league leaders as the Red Devils continue to chase a top-four spot.