Corluka came under fire from some supporters for smashing a stoppage-time free-kick straight out of play at White Hart Lane and reportedly had to be restrained by assistant manager Kevin Bond after confronting them at the final whistle.
However, Corluka has played down the incident and insists he was calm and relaxed when he approached the stands.
"I told one supporter he was an idiot," said Corluka. "He was moaning during the match when he should have been supporting the team.
"I told him to support instead of criticising. But Kevin did not calm me down, I didn't need calming down."
Tottenham boss Harry Redknapp revealed he will have a talk with Corluka about the confrontation but doesn't expect any further action to be taken.
"I didn't see it. I wanted him to stick it into the corner for Gareth Bale but it didn't work. Players have to be careful in the current climate," said Redknapp. "I'll speak to Corluka about it, but I don't understand why fans want to give one of their own players stick."
However, one concerned fan disagreed with the club's assessment of the incident and told the Daily Star: "He was like a man possessed. I was glad Kevin Bond came over and stopped him. Who knows what he would have done?"
Meanwhile, Stoke's Ricardo Fuller could face investigation after also confronting fans at White Hart Lane on Saturday.
Fuller grabbed a Tottenham fan by the neck in the closing moments and is the most likely to be banned by the FA once they see referee Kevin Friend's report, as he physically confronted a Spurs fan who was shouting at him.