With the many women complaining Charlie Sheen never told them of his HIV status before having sexual relations with them, the Los Angeles law enforcement is now compiling a list -- this could lead to a criminal investigation, or not.

An article on FoxNews.com stated that a source who is close to the LA law enforcement said they are trying to come up with a list as they "envision a lengthy criminal investigation."

The source said the authorities are not ignoring the issue because they can't. "This is categorized as highly sensitive material." 

However, even if the women have called in to complain, nobody wanted their names put on the list, and that has posed a problem. "Four or five different young ladies came forward saying they don't want their names out." The article on FoxNews mentioned, though, that "that won't stop law enforcement from doing a thorough investigation. It will be weeks before anything comes out publicly, that's a conservative timeframe."

Sheen admitted on the Today show that he had been having sex with women while knowing he was HIV positive, including unprotected sex with two women whom he said knew of his status.

"The more calls the DA receives inquiring whether a criminal investigation is in place pushes them to file criminal charges," the source mentioned on the FoxNews article said. The source further commented on the fact that Sheen's sexual conquests have been public knowledge, but now that he has also "admitted that he's known he was positive for at least four years. Obvious questions to follow are what did he do to protect his partners?"

When Fox411 asked the LAPD if an investigation is already underway, a spokesperson said "There is nothing yet".

A spokesperson from the DA's office also sent a comment through e-mail, stating "There is no criminal complaint against Charlie Sheen."

There was no comment from any representative of Charlie Sheen.

The article on FoxNews posted that exposing someone to HIV is a felony only if intent to infect that individual can be proven, as stated in California Health and Safety Code Section 120291: "Any person who exposes another to the human immunodeficiency virus (HIV) by engaging in unprotected sexual activity when the infected person knows at the time of the unprotected sex that he or she is infected with HIV, has not disclosed his or her HIV-positive status, and acts with the specific intent to infect the other person with HIV, is guilty of a felony punishable by imprisonment in the state prison for three, five, or eight years. Evidence that the person had knowledge of his or her HIV-positive status, without additional evidence, shall not be sufficient to prove specific intent."