The photogs -- not TMZ -- were allegedly chasing the car Paris was in, blowing red lights and driving recklessly, trying to get a shot of MJ's daughter.
We're told the cops are not going to arrest the photogs because police didn't see the chase. In fact, they will not even be cited for the same reason.
Instead, we're told a crime report will be written and forwarded to the L.A. City Attorney for possible prosecution.
UPDATE: Law enforcement sources tell TMZ, cops have decided NOT to refer the incident to prosecutors due to insufficient evidence ... but Paris is still free to sue in civil court.