Witnesses said the Cameroonleft back, 25, responded to verbalcriticism as he walked down the tunnel by trying to grab the fan's throat and had to be pulled away by Spursfirst-team coach Joe Jordan.
The incident was reported to police just after midnight on Saturday.
Hot water: Benoit Assou-Ekotto
An FA spokesman said: 'We areobviously aware of the reports and will await the referee's own report before talking to the club and the police.'
The FA will only act once the police have finished their investigation, and Tottenham have launched their own internal inquiry.
Spurs centre back Sebastien Bassong said 'nothing happened' between Assou-Ekotto and the fan, adding: 'It was just frustration about the fan and that's it.
'He (Assou-Ekotto) was not upset in the changing room. I can understand the frustration because all the players are alsofrustrated at not scoring. We kepttrying and trying but we didn't, so I can understand their frustration.
'That is football. One day you are on fire and win 9-1, the next day you can draw or miss a lot of chances. This is why we like football.'
But it seems Spurs boss HarryRedknapp was right to ban aTottenham Christmas party because 'there's nothing to celebrate yet'.
Golden boy: Kevin Doyle scores the winner
His side's performance showed they still have some way to go to prove themselves worthy contenders for a top-four spot and they slipped to fifth place after this defeat.
But this should not take anything away from a Wolves display that saw Mick McCarthy's side record back-to-back wins in the top flight for the first time in 26 years.
McCarthy said: 'I hope that result shows that we are starting to find our feet in the Premier League.
'It was a measured performance if anything, a calculated performance rather than anything else, a good performance.'
Where Spurs were listless andlacking in imagination, Wolves were resolute and determined.The visitors nicked a goal in the third minute with their first attack - the faintest of headers from Kevin Doyle converting a Nenad Milijas free-kick - and clung on for dear life, forming two impenetrable banks of four that Spurs simply could not pass their way through.
An injury to midfielder David Edwards, who twisted his right ankle and could be out for 12 weeks, was the only low point for Wolves, who moved out of the bottom three.
Midfield maestros: Karl Henry holds off Tom Huddlestone
It might not have been particularly pretty, but it was a masterclass inpragmatic football from McCarthy's side, particularly as Wolves were the first visitors to White Hart Lane after Spurs put nine goals past Wigan.
McCarthy said: 'I didn't watch Spurs win their last home game 9-1. I just saw the goals. I didn't show the players any footage either. What's the point? 'Oh come here, come and watch Defoe play, come here and watch him score five'.
'It was really about what we did in this game and that is what has won the match for us.'
MATCH FACTSTOTTENHAM (4-4-2): Gomes 5; Corluka 6,Dawson 5, Bassong 5, Assou-Ekotto 5; Lennon 6, Palacios 5 (Modric 58min, 6), Huddlestone 5,Kranjcar 5 (Giovani 78); Keane 5, (Crouch 58, 6), Defoe 5.
WOLVES (4-4-2): Hahnemann 6; Stearman 6(Iwelumo 79), Craddock 6, Berra 6, Ward 6; Edwards 6 (Foley 59, 6), Henry 8, Milijas 6(Mancienne 70, 6), Jarvis 6, Doyle 7,Ebanks-Blake 5.Booked: Hahnemann, Ward, Henry, Jarvis, Mancienne.
Man of the match: Karl Henry.
Referee: Stuart Attwell.
Redknapp, who left out Jermaine Jenas, David Bentley and RomanPavlyuchenko and was forced intogiving Luka Modric more than half an hour on his return to first-team action after breaking his right leg, said: 'They're disappointed, of course, you always get disappointed.
'But you can't over-react to getting beat, it's not the end of theworld, I'm not going to go and commit suicide tonight. It happens infootball: you have runs, you have ups, you have downs.
'You've just got to keep going haven'tyou?'
McCarthy was similarly eager for fans not to read too much intoWolves' win, particularly with a daunting trip to Manchester Unitedtomorrow night.
'There's no better place to put out feet back on the ground than OldTrafford is there?' he said.
Police confirm Benoit Assou-Ekotto probe after full-back's Spurs fan clashGoal-scoring goalkeepers: Bolat joins the stoppers with super strike records Roman road leads out of Tottenham as Redknapp will be forced to sell TOTTENHAM HOTSPUR FC