The Italian reacted angrily to questions about his future last week when it was claimed that Carlo Ancelotti could be a possible successor to him at Stamford Bridge.
It has been something of a mixed start to the new campaign for the west London side, with Chelsea having struggled to find consistent form in the Premier League to leave them fourth in the table and nine points behind leaders Manchester City after 10 games.
However, Conte has enjoyed a brilliant start to his Chelsea career after he won the title in his first season in charge at the club last term.
And former Chelsea midfielder Lampard insists that he is fully behind the Blues boss and says that he had a right to express his anger at talk of Ancelotti being linked with his job.
Lampard wrote in his column for the Evening Standard: “As a player I would be happy with the idea of Conte defending himself and the team as a whole. I would appreciate him nipping it in the bud.
“You have to react at certain times. If you always keep your mouth shut, maybe you’re letting things run away that you shouldn’t do. Of course, pressure is not new to him.
“All the talk over Conte’s position is premature. Obviously, some of the stuff being said stems from the fact that Chelsea have a history of changing managers – so the moment there is any mention of discourse, then people will start to think it’s the same old story.
“I think Chelsea fans have become slightly immune to it all and so it comes just back to what is happening on the pitch.”
Chelsea return to Premier League action on Saturday afternoon with a crunch clash against Manchester United at Stamford Bridge.
The Blues were 1-0 winners at Bournemouth last weekend in their most recent Premier League outing.
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