Dunn, 22, ran past players and sprinted 80 yards down the field before kicking a free kick set up for the Spurs' Christian Eriksen in the second half of the game at Upton Park.
Dunn nearly scored with his left footer: The ball floated above the wall of defenders and nearly went in, before West Ham goalkeeper Adrian, who fidgeted before getting a read on the ball, stopped the ball from going in.
Dunn, who raised his arms in celebration before being caught and dragged away by stadium security, has been charged with entering the pitch without approval. He could be looking at a 10-year ban from attending Premier League football matches, but he has no regrets.
"I know it was a mistake, but it was definitely worth it," Dunn told Kent Online.
"My phone hasn't stopped going off and even Gary Lineker tweeted about it. My mates think I'm a legend.
"I could be looking at a 10-year-ban and even a 5,000-pound fine. The ban wouldn't bother me whatsoever but obviously the money would … My mom's not too happy, but she had a little laugh about it."