McCoy was recorded by the Philadelphia sports blog PhillyInfluencer.com coming out of a Center City bar Wednesday night.
The website posted the video to YouTube.
What exactly McCoy says in the video is hard to hear, but his lawyer tells ESPN's John Barr that he said, "He would make a statement sooner than later."
Action News is told charges are expected soon against the current Buffalo Bills running back and three others.
Action News has also learned that one member of the group is a former NFL player, another is a former college football player with the University of Pittsburgh, where McCoy also played.
Overnight, the Eagles former star running back changed directions. Instead of retaining skilled, veteran, criminal lawyer Jack McMahon, he has retained skilled, veteran, criminal lawyer Larry Krasner.
The incident, which occurred around 2:45 a.m. Sunday at the Recess Lounge on South 2nd Street, was caught on viewer video.
In addition, TMZ has posted footage of the bar fight that apparently shows the NFL star's face.
McCoy and three others allegedly assaulted the off-duty police officers during an argument over champagne.
Sources initially said the fight started over a bottle of champagne. But now sources believe it was about a bottle of champagne sent over to a woman who was part of Shady's entourage.
That led to an argument, police said, and one of the police officers was punched and knocked to the ground.
While on the ground, Philadelphia police say that officer was punched, kicked and stomped on his body and head multiple times by all four suspects.
The second officer, along with security guards, went to break it up, and everyone involved was then ejected from the club.
The first officer drove himself to the hospital, where he was found to be suffering from broken ribs, a broken nose, a laceration to his right eye and a sprained thumb, police said.
The second officer was also admitted to the hospital, where he received stitches over his right eye and is being treated for a possible skull fracture.
Police sources say the officers involved never identified themselves to McCoy's group as cops.
Sources also tell Action News that the officers involved will not face charges.
Police say outside surveillance video showed the ejection from the club, but surveillance cameras inside the club were not working.
"Nothing should amount to this kind of incident where you have someone going to the ground and have any individual stomping a person over a bottle of champagne. It makes no sense whatsoever," said Lt. John Stanford of Philadelphia Police.
A police sergeant was with the officers at the time, sources tell Action News, but was not involved in the incident.
McCoy's agent, Drew Rosenhaus, declined to comment when contacted by Action News.
The Buffalo Bills put out a statement Monday that reads:
"We are aware of the reports regarding LeSean McCoy and are in the process of gathering more information. We will not provide any further comment at this time."