The 47-year-old was found dead in the bottom of his swimming pool by fiancée Cynthia Kelly early on Sunday.
Kelly has reportedly told friends that King smoked marijuana and consumed alcohol before waking her up by banging on a glass window at their home.
The commotion caused Kelly to reach for her phone at the same time as she heard a splash in the couple's pool, she has said.
This version of events has allegedly been called into question by several unnamed sources who were close to King. These friends apparently claim that King's story changed slightly throughout the day.
Police have been alerted to the concerns of King's friends, but stressed that they still have found no signs of foul play, reports TMZ.
A drowning investigation is currently under way, with a full autopsy to take place.
King gained notoriety in the early 1990s as a victim of alleged police brutality. The acquittal of the officers in his case has been cited as the cause of the Los Angeles riots.