from tmz

17-year-old  rapper Chief Keef is already getting a head start on his baby  mama drama -- in fact, he's so far ahead of the game ... he allegedly  impregnated a girl who's STILL IN MIDDLE SCHOOL ... and now, she's suing for  child support.

The girl filed the petition for child support in Chicago,  claiming Keef -- real name Keith Cozart -- fathered a baby  daughter with her back in 2011.

The girl's exact age is unclear, but  according to the docs, she currently attends a Chicago middle school -- meaning  she was .. at MOST ... in 8th grade when she conceived the child, but could have  been in 6th grade.

Cozart -- who has since worked with Kanye West, Young  Jeezy, and Rick Ross -- was 15 at the time.

In Illinois, it is considered  a misdemeanor for two people under the age of 17 to have sex ... even if they're  in a consensual relationship. When both parties are between 9 and 17 years  old, the older person commits a crime called "criminal sexual  abuse."

Punishment for the crime includes a max sentence of one year in  jail ... and a requirement to register as a sex offender for ten years -- but in  reality, these cases are almost never prosecuted.

The most likely  scenario in which Keef would face a judge is if the girl's parents press charges  -- but if that hasn't already happened, it probably won't.

The girl is  suing Keef for an undisclosed amount of child support, including health  insurance and other medical expenses. Calls to both Keef's people and the girl's  family were not returned.

Keef's no stranger to legal problems -- he was  just sentenced to 60 days in juvey for violating his probation on a gun charge.

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