Reports have been rife this week that Conte will take over from Mauricio Pochettino next season following PSG's failure to excel in the Champions League.
Tottenham hired Conte on an 18-month contract in November last year after Nuno-Esperito Santo was sacked and he has helped drag them into Champions League qualification contention.
Tottenham are fifth on the Premier League table, two points behind Arsenal in fourth, with five games to go. The two teams face each other next month.
"Obviously I think it's good that other clubs appreciate my work, but this is one thing. The truth is I don't like when people try to invent news, only to speak, only to create problems," Conte said in a news conference ahead of this weekend's game against Leicester City.
"This is not right, this is not fair for the clubs involved or for my players, also because I feel we're really focused on these five games and getting results.
"This type of situation makes me smile, but I think that the people that want to say something about this have to show respect for all the people involved in the situation, and not invent fake news and tell a lot of lies.
"In this moment, we need to be focused, we need to be concentrated on an important target. We have a big opportunity to try and get a place in the Champions League.
"Now, don't listen to fake news. People for sure want to create problems for the environment. We have five games and then at the end of the season, in a private way, I will speak with my club and I will see the best solution."
