It was also revealed that Burgess allegedly claimed in September 2018 that then-NRL chief executive Todd Greenberg told him he would not be suspended over a sexting scandal that was still investigated by the league and his club.
The scandal emerged when a woman allegedly complained to the Rabbitohs saying Burgess and other players had subjected her to sexual harassment during a video call, where Burgess allegedly showed her his penis.
The NRL has confirmed it will enlist an Integrity Unit to carry out an investigation into the claims.
Chief executive Andrew Abdo said in a statement, the unit would speak with South Sydney officials today and called the allegations "very serious".
"I've instructed the Integrity Unit to investigate the claims as a priority. We will also seek the advice of police and other relevant authorities throughout this process,'' he added.
"This is new information for the NRL and it is important we now gather the facts. The allegations have not yet been tested and due process will be followed as we undertake a thorough investigation."
Abdo said there is no place for violence or abuse of any kind, and anyone if anyone is found guilty, the strongest possible action will be taken.
Burgess' lawyer Mark O'Brien has strongly denied the allegations against the 31-year-old, who is currently a development coach at Souths after retiring from rugby league in October last year.
"The allegations are false and constitute an indefensible defamation against my client," O'Brien told The Australian.
"It is apparent sources of the false allegations are those currently in dispute with my client over various issues."
Burgess has played in both union and league, making five appearances for England's rugby union side and 24 appearances for England's league team.