Police responded to a radio call of a 911 hang-up from the store and word of a possible shooting victim at the scene Wednesday at about 3:15 p.m.
Officers found a 48-year-old woman with multiple gunshot wounds. Paramedics pronounced her dead at the scene, officials said.
The victim's identity was not immediately released.
Witnesses said a man entered the store, argued with the victim, and then opened fire before fleeing the scene.
If you have any information about the shooting, you're urged to call Inglewood police at (310) 412-5246.
City News Service contributed to this report.