Assistant District Attorney Pat Dixon, who prosecuted Rogers in the 1990s, said Glen Rogers may have an ulterior motive for claiming to have killed Simpson and Goldman.
"Rogers is on death row in Florida and California. If he's close to execution in Florida, he may be hoping that California will bring him back here which would postpone the execution," Dixon said.
The Simpson and Goldman killings did not match Rogers' other killings, Dixon added.
"Rogers and O.J. Simpson's cases don't match except that all the victims were stabbed. Rogers was a good-looking guy. He would go to bars, pick up women, court them, sometimes live with them a while, then kill them. The one victim he murdered in L.A., he killed the night he met her. I'm not aware of any instance of violence outside that pattern. What happened to Nicole Brown was totally different."
O.J. Simpson is serving a 33-year sentence with the possibility of parole after nine years after being convicted of 10 charges related to an armed confrontation over sports memorabilia in a Las Vegas hotel room. He was convicted in 2008.
CNN was unable to immediately reach Simpson or his lawyer for a response.