Conte made the scathing assessment after Spurs lost 2-0 at home to Wolverhampton Wanderers in the Premier League on Sunday.
Both Wolves goals came from defensive errors in the opening 20 minutes, with Raul Jimenez and Leander Dendoncker benefitting to give Bruno Lage’s men a fourth straight Premier League away win on the bounce.
Tottenham have now lost each of their last three Premier League games and have dropped to eighth on the table, five points adrift the Champions League places.
"Pressure is part of the job, pressure for me and pressure for the players," Conte said. "This type of situation is part of our job.
"When I speak about improving many aspects [of Spurs' performances], it's not only today, after two defeats at home, that I tell you.
"There is a long road, a long path in front of us, It's important not to be scared and to face this path.
"In this moment we have to be realistic and we have to be together.
"Our fans have to understand that maybe you need to have patience, to rebuild the situation they were used to in the past."
"In my opinion the performance was good, we created many chances to score, [and] we had the possession of the ball,” Conte added on Tottenham’s improved second half showing.
"The commitment is very high but there is more [required] than this."