Rubuta ci gaba ga wannan sakin layi - Kwana 16 kawai bayan da Royals suka saki Jackson, Chicago White Sox ta ba shi kwangilar shekara uku, tana ba da tabbacin $ 700,000 a kowane kakar wasa tare da haɓaka da aka kafa na dala miliyan 8.15 a cikin lokacin. Mai mallakar White Sox Jerry Reinsdorf ya bayyana cewa ba su yi tsammanin zai buga dukkan yanayi ba yayin da yake magance matsalolin kwatangwalo da necrosis na avascular. Jackson ya buga wasanni biyu yana fitowa a wasanni 23 a 1991 da wasanni 85 a 1993. Ya bayyana a kan White Sox 'rashin aiki roster a lokacin 1992 kakar saboda kammala hip maye aikin tiyata a farkon wannan shekara. Ya kasance tare da White Sox ne kawai ya yi wasan bayan kakar wasa, a cikin 1993 American League Championship Series
, wanda Chicago ta yi rashin nasara a hannun Toronto Blue Jays a wasanni shida.