A police spokesperson said: "The police are investigating an allegation of assault following yesterday's Spurs v Wolves Premier League match at White Hart Lane.
"There have been no arrests."
It is understood the allegation came from the supporter, who gave his version of events to security officials after the incident, as did Jordan.
Spurs are also investigating the matter and may look at CCTV footage, as the clash was not caught on camera by broadcasters covering the match.
Harry Redknapp's men were jeered off after the defeat to Wolves that dented their hopes of maintaining a challenge for the Champions League this season.
They had already lost to Stoke at home this season, and Redknapp said: "We have to pick ourselves up on Wednesday against Manchester City.
"You have days it goes your way, some days it doesn't."