The Alabama wide receiver is accused of hitting a female Tennessee fan after the game.
Emily Isaacs shared a video on social media in which she claimed that Burton hit her in the head.
Another fan uploaded a video.
There was no comment from the police before the story was published. Alabama head coach Nick Saban acknowledged the incident when speaking to reporters and said the school was currently working to gather more information.
Tennessee fans flooded onto the field at Neyland Stadium after Chase McGrath hit the game-winning field goal.
CBS Sports @CBSSportsTENNESSEE TAKES DOWN ALABAMA AND THE FANS ARE STORMING THE FIELD AT NEYLAND STADIUM.
WHAT A WIN FOR THE VOLS. pic.twitter.com/1MkxrkyxBA
CBS Sports @CBSSportsSports.
Simply the best. pic.twitter.com/eVY7vhcZ6u
It was understandable that the celebrations were frenzied.
The Tide had been the better of the Vols for 15 years in a row. Josh Heupel's squad is on a course for the College Football Playoff after they broke the streak.
The SEC fined Tennessee $100,000 after they rushed on the field.
✨ Watch more top videos, highlights, and B/R original contentEnsuring that the opposing team's players have a safe path to the tunnel is almost impossible because they have little time to leave the field before field-storming starts.
That doesn't excuse violence from either fans or players, but administrators are concerned about fans being on the field.
Burton is a junior at Alabama. He has caught 18 passes for 266 yards and three touchdown.