The hip-hop star's legendary rap group is getting the big screen treatment in a film named after the rappers' 1988 debut album, and Ice Cube has previously championed his 22-year-old son for the lead role, reported The Wrap.
His campaigning has finally paid off, and Jackson has reportedly been offered the part.
Universal Studios executives have yet to confirm Jackson's casting.
'Straight Outta Compton' tells the story of Compton, California rappers Dr Dre, Ice Cube, the late Eazy-E, MC Ren and DJ Yella's rise to fame in the late 1980s and their subsequent split in 1991.