Debbie Rowe as Guardian? Ready, Willing And Able to Become Paris Jackson's Guardian

Debbie Rowe could become Paris Jackson's guardian if the 15-year-old wants to make the switch, and sources tell us it's a real possibility.

As we first reported ... the judge in the guardianship case has ordered an investigation into the welfare of Michael Jackson's daughter, after her attempted suicide last week.

Sources familiar with the situation tell TMZ ... Rowe has made no attempt to become Paris' legal guardian -- a title which is now vested jointly in Katherine Jackson and TJ Jackson. But that could change if the judge determines the current arrangement is not serving Paris well.

We're told TJ's role is marginal, given his responsibilities to his wife and kids. As for Katherine's role, sources tell us Paris has been increasingly frustrated that her grandmother is not "connected" to her life ... and that's a big reason why the teen has struck up what has become an intense relationship with Debbie.

If the judge opens up the guardianship case, he will give great weight to Paris' desires. If Paris wants Debbie as her guardian -- and we're told that's a "likely" scenario -- our sources say Debbie would gladly accept.

It's important to note ... when the judge held the guardianship hearing shortly after Michael died ... Debbie voiced concern about the welfare of the kids but accepted Katherine as guardian as long as the kids were protected.

Debbie NEVER waived her right to a guardianship, and we're told the judge would take Debbie seriously, given the fact that she's the biological mother with a meaningful relationship with Paris.